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1,061 results on '"Bravo, Miguel A."'

3. Extensions and approximations of Banach-valued Sobolev functions

Author

García-Bravo, Miguel, Ikonen, Toni, and Zhu, Zheng

Subjects
Mathematics - Functional Analysis, Mathematics - Complex Variables, Primary: 46E35. Secondary: 46E36, 30L99
Abstract

In complete metric measure spaces equipped with a doubling measure and supporting a weak Poincar\'e inequality, we investigate when a given Banach-valued Sobolev function defined on a subset satisfying a measure-density condition is the restriction of a Banach-valued Sobolev function defined on the whole space. We investigate the problem for Haj{\l}asz- and Newton-Sobolev spaces, respectively. First, we show that Haj{\l}asz-Sobolev extendability is independent of the target Banach spaces. We also show that every $c_0$-valued Newton-Sobolev extension set is a Banach-valued Newton-Sobolev extension set for every Banach space. We also prove that any measurable set satisfying a measure-density condition and a weak Poincar\'e inequality up to some scale is a Banach-valued Newton-Sobolev extension set for every Banach space. Conversely, we verify a folklore result stating that when $n\leq p<\infty$, every $W^{1,p}$-extension domain $\Omega \subset \mathbb{R}^n$ supports a weak $(1,p)$-Poincar\'e inequality up to some scale. As a related result of independent interest, we prove that in any metric measure space when $1 \leq p < \infty$ and real-valued Lipschitz functions with bounded support are norm-dense in the real-valued $W^{1,p}$-space, then Banach-valued Lipschitz functions with bounded support are energy-dense in every Banach-valued $W^{1,p}$-space whenever the Banach space has the so-called metric approximation property., Comment: 50 pages; typos fixed, removed a faulty example immediately following Theorem 1.3

Published
2022

4. A necessary condition for Sobolev extension domains in higher dimensions

Author

García-Bravo, Miguel, Rajala, Tapio, and Takanen, Jyrki

Subjects
Mathematics - Analysis of PDEs, Mathematics - Classical Analysis and ODEs, Mathematics - Functional Analysis, 46E35, 28A75
Abstract

We give a necessary condition for a domain to have a bounded extension operator from $L^{1,p}(\Omega)$ to $L^{1,p}(\mathbb R^n)$ for the range $1 < p < 2$. The condition is given in terms of a power of the distance to the boundary of $\Omega$ integrated along the measure theoretic boundary of a set of locally finite perimeter and its extension. This generalizes a characterizing curve condition for planar simply connected domains, and a condition for $W^{1,1}$-extensions. We use the necessary condition to give a quantitative version of the curve condition. We also construct an example of an extension domain that is homeomorphic to a ball and has $n$-dimensional boundary., Comment: 30 pages, 3 figures

Published
2022

5. List of contributors

Author

Adhikary, Suman Kumar, primary, Agrela, Francisco, additional, Almagro, Juan Francisco, additional, Benítez, Almudena, additional, Biligiri, Krishna Prapoorna, additional, Borrachero Rosado, María Victoria, additional, Bravo, Miguel, additional, Cabrera, Manuel, additional, Caneda-Martínez, Laura, additional, Cimentada, Ana, additional, Cristelo, Nuno, additional, Cruz-Yusta, Manuel, additional, de Brito, Jorge, additional, Duarte, António Pedro Carones, additional, Faleschini, Flora, additional, García, Ismael, additional, Garcia-Lodeiro, Inês, additional, Gayarre, Fernando L., additional, González Suárez, Jesús, additional, González-Fonteboa, Belén, additional, Guo, Yipu, additional, Illikainen, Mirja, additional, Kassim, Dany, additional, Lamaa, Ghandy, additional, Li, Wengui, additional, Luo, Zhiyu, additional, Monzó, José, additional, Moreno, M. Sánchez, additional, Nunes, Vitor A., additional, Ozel, Behlul Furkan, additional, Payá, Jordi, additional, Pérez, Carlos López-Colina, additional, Perumal, Priyadharshini, additional, Puertas, Francisca, additional, Rivera, Jhonathan, additional, Rosales, Julia, additional, Sainz-Aja, José, additional, Sánchez, Luis, additional, Seara-Paz, Sindy, additional, Serrano Lopez, Miguel A., additional, Shi, Caijun, additional, Silva, Bruna A., additional, Silva, Rui V., additional, Singh, Avishreshth, additional, Soriano, Lourdes, additional, Tashima, Mauro M., additional, Thomas, Carlos, additional, Torres-Carrasco, Manuel, additional, Trento, Daniel, additional, Trujillo López, Lina M., additional, Wang, Xiaonan, additional, Wu, Victor, additional, Yildirim, Gurkan, additional, Zanini, Mariano Angelo, additional, Zhang, Xuanhan, additional, Zhang, Xuanrui, additional, and Zhao, Caiyu, additional

Published
2024
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8. Two-sided boundary points of Sobolev-extension domains on Euclidean spaces

Author

García-Bravo, Miguel, Rajala, Tapio, and Takanen, Jyrki

Subjects
Mathematics - Classical Analysis and ODEs, Mathematics - Functional Analysis, 46E35, 28A75
Abstract

We prove an estimate on the Hausdorff-dimension of the set of two-sided boundary points of general Sobolev-extension domains on Euclidean spaces. We also present examples showing lower bounds on possible dimension estimates of this type., Comment: 1 figure, 20 pages

Published
2021

10. Bi-Lipschitz invariance of planar $BV$- and $W^{1,1}$-extension domains

Author

García-Bravo, Miguel, Rajala, Tapio, and Zhu, Zheng

Subjects
Mathematics - Functional Analysis, Mathematics - Classical Analysis and ODEs, 46E35
Abstract

We prove that a bi-Lipschitz image of a planar $BV$-extension domain is also a $BV$-extension domain, and that a bi-Lipschitz image of a planar $W^{1,1}$-extension domain is again a $W^{1,1}$-extension domain., Comment: 8 pages

Published
2021

11. Strong $BV$-extension and $W^{1,1}$-extension domains

Author

García-Bravo, Miguel and Rajala, Tapio

Subjects
Mathematics - Metric Geometry, 46E35, 26B30
Abstract

We show that a bounded domain in a Euclidean space is a $W^{1,1}$-extension domain if and only if it is a strong $BV$-extension domain. In the planar case, bounded and strong $BV$-extension domains are shown to be exactly those $BV$-extension domains for which the set $\partial\Omega \setminus \bigcup_{i} \overline{\Omega}_i$ is purely $1$-unrectifiable, where $\Omega_i$ are the open connected components of $\mathbb{R}^2\setminus\overline{\Omega}$., Comment: Implication (3) to (2) in Theorem 1.3 has been corrected and other minor changes have been done. 31 pages, 2 figures

Published
2021

13. Repeated pancreatic resection for pancreatic metastases from renal cell Carcinoma: A Spanish multicenter study (PANMEKID)

Author

Rojas-Holguín, Adela, Fondevila-Campo, Constantino, Sanjuanbenito, Alfonso, Fabregat-Prous, Joan, Secanella-Medayo, Luís, Rotellar-Sastre, Fernando, Pardo-Sánchez, Fernando, Prieto-Calvo, Mikel, Marín-Ortega, Héctor, Sánchez-Cabús, Santiago, Diez-Valladares, Luis, Alonso-Casado, Óscar, González-Serrano, Carmen, Rodríguez-Sanjuan, Juan Carlos, García-Plaza, Gabriel, Jaén-Torrejimeno, Isabel, Suárez-Muñoz, Miguel Ángel, Becerra-Massare, Antonio, Rio, Paula Senra-del, Pando, Elizabeth, López-Andújar, Rafael, Muñoz-Forner, Elena, Rodriguez-López, Mario, Pereira, Fernando, Serrablo-Requejo, Alejandro, Turrión, Víctor Sánchez, Garrido, Manuel Jiménez, Burdío, Fernando, Martín-Pérez, Elena, Estevan-Estevan, Rafael, López-Guerra, Diego, Castell-Gómez, José, Salinas-Gómez, Javier, López-Baena, José Ángel, López-Ben, Santiago, Solar-García, Lorena, Pérez-Alonso, Alejandro J., Martínez-Insfran, Luis Alberto, Blas, Juan Luis, Cornejo, Marian, Gutierrez-Calvo, Alberto, Pozo, Carlos Domingo-del, Ochando-Cerdan, Federico, Muñoz-Bellvís, Luis, Rebollar-Saenz, José, Sánchez, Belinda, Jover, José María, Gómez-Bravo, Miguel Ángel, Ramia, José M., and Blanco-Fernández, Gerardo

Published
2024
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14. Gluteal Reshaping

Author

Aslani, Alexander, Bravo, Miguel G., Gomes-Ferreira, Mónica, editor, and Olivas-Menayo, Jesús, editor

Published
2023
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19. Normal tilings of a Banach space and its ball

Author

Deville, Robert and García-Bravo, Miguel

Subjects
Mathematics - Functional Analysis, 46B20, 52C22, 52A30
Abstract

We show some new results about tilings in Banach spaces. A tiling of a Banach space $X$ is a covering by closed sets with non-empty interior so that they have pairwise disjoint interiors. If moreover the tiles have inner radii uniformly bounded from below, and outer radii uniformly bounded from above, we say that the tiling is normal. In 2010 Preiss constructed a convex normal tiling of the separable Hilbert space. For Banach spaces with Schauder basis we will show that Preiss' result is still true with starshaped tiles instead of convex ones. Also, whenever $X$ is uniformly convex we give precise constructions of convex normal tilings of the unit sphere, the unit ball or in general of any convex body., Comment: 12 pages, 2 figures

Published
2020

22. A scoring system for predicting malignancy in intraductal papillary mucinous neoplasms of the pancreas: a multicenter EUROPEAN validation

Author

Manuel-Vázquez, Alba, Balakrishnan, Anita, Agami, Paul, Andersson, Bodil, Berrevoet, Frederik, Besselink, Marc G., Boggi, Ugo, Caputo, Damiano, Carabias, Alberto, Carrion-Alvarez, Lucia, Franco, Carmen Cepeda, Coppola, Alessandro, Dasari, Bobby V. M., Diaz-Mercedes, Sherley, Feretis, Michail, Fondevila, Constantino, Fusai, Giuseppe Kito, Garcea, Giuseppe, Gonzabay, Victor, Bravo, Miguel Ángel Gómez, Gorris, Myrte, Hendrikx, Bart, Hidalgo-Salinas, Camila, Kadam, Prashant, Karavias, Dimitrios, Kauffmann, Emanuele, Kourdouli, Amar, La Vaccara, Vincenzo, van Laarhoven, Stijn, Leighton, James, Liem, Mike S. L., Machairas, Nikolaos, Magouliotis, Dimitris, Mahmoud, Adel, Marino, Marco V., Massani, Marco, Requena, Paola Melgar, Mentor, Keno, Napoli, Niccolò, Nijhuis, Jorieke H. T., Nikov, Andrej, Nistri, Cristina, Nunes, Victor, Ruiz, Eduardo Ortiz, Pandanaboyana, Sanjay, Saborido, Baltasar Pérez, Pohnán, Radek, Popa, Mariuca, Pérez, Belinda Sánchez, Bueno, Francisco Sánchez, Serrablo, Alejandro, Serradilla-Martín, Mario, Skipworth, James R. A., Soreide, Kjetil, Symeonidis, Dimitris, Zacharoulis, Dimitris, Zelga, Piotr, Aliseda, Daniel, Santiago, María Jesús Castro, Mancilla, Carlos Fernández, Fragua, Raquel Latorre, Hughes, Daniel Llwyd, Llorente, Carmen Payá, Lesurtel, Mickaël, Gallagher, Tom, and Ramia, José Manuel

Published
2022
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23. Extraction of critical points of smooth functions on Banach spaces

Author

García-Bravo, Miguel

Subjects
Mathematics - Functional Analysis
Abstract

Let $E$ be an infinite-dimensional separable Hilbert space. We show that for every $C^1$ function $f:E\to\mathbb{R}^d$, every open set $U$ with $C_f:=\{x\in E:\,Df(x)\; \text{is not surjective}\}\subset U$ and every continuous function $\varepsilon:E\to (0,\infty)$ there exists a $C^1$ mapping $\varphi:E\to\mathbb{R}^d$ such that $||f(x)-\varphi(x)||\leq \varepsilon(x)$ for every $x\in E$, $f=\varphi$ outside $U$ and $\varphi$ has no critical points ($C_{\varphi}=\emptyset$). This result can be generalized to the case where $E=c_0$ or $E=l_p$, $1

Published
2019

24. Surgical outcomes of gallbladder cancer: the OMEGA retrospective, multicentre, international cohort study

Author

Abe, Tomoyuki, Abu Hilal, Moh'd, Achalandabaso Boira, Maria del Mar, Adham, Mustapha, Adam, Mohamed, Ahmad, Maryam, Al-Sarireh, Bilal, Albiol, Maite, Alhaboob, Nassir, Alseidi, Adnan, Ammar, Houssem, Anand, Akshay, Andersson, Bodil, Antonakis, Pantelis, Araya, Veronica, Ashley, Stanley W., Atanasov, Georgi, Ausania, Fabio, Balestri, Ricardo, Banerjee, Abhirup, Banerjee, Sudeep, Banting, Simon, Barauskas, Giedrius, Bartsch, Fabian, Belli, Andrea, Beretta, Simona, Berrevoet, Frederik, Bhandari, Ramesh Singh, Blanco Fernandez, Gerardo, Bolm, Louisa, Bonal, Mathieu, Bozkurt, Emre, Braat, Andries E., Bradshaw, Luke, Bramis, Konstantinos, Branes, Alejandro, Burdine, Lyle, Byrne, Matthew, Caceres, Maria, Castro Santiago, Maria Jesus, Chan, Benjamin, Chong, Lynn, Çoker, Ahmet, Conde Rodriguez, Maria, Croagh, Daniel, Crutchley, Alyn, Cutolo, Carmen, D'Hondt, Mathieu, D'Souza, Daniel, Daams, Freek, Dalla Valle, Raffaele, Davide, José, de Bellis, Mario, de Boer, Marieke, de Meyere, Celine, de Reuver, Philip, Dixon, Matthew, Dorovinis, Panagiotis, Echeverría Bauer, Gabriela, Eduarda, Maria, Eker, Hasan, Erdmann, Joris, Erkan, Mert, Felekouras, Evangelos, Felli, Emanuele, Fernandes, Eduardo, Figueroa Rivera, Eduardo, Fulop, Andras, Galun, Daniel, Gerhards, Michael, Ghorbani, Poya, Giannone, Fabio, Gil, Luis, Giorgakis, Emmanouil, Giuffrida, Mario, Giuliante, Felice, Gkekas, Ioannis, Gomez Bravo, Miguel, Groot Koerkamp, Bas, Guevara, Oscar, Guglielmi, Alfredo, Gulla, Aiste, Gupta, Rahul, Gupta, Amit, Gutiérrez, Marta, Hafeez Bhatti, Abu Bakar, Hagendoorn, Jeroen, Hajee, Zain, Hakeem, Abdul Rahman, Hamid, Hytham, Hassen, Sayed, Heinrich, Stefan, Higuchi, Ryota, Hoffman, Daniel, Holroyd, David, Hughes, Daniel, Ivanecz, Arpad, Iype, Satheesh, Jaen Torrejimeno, Isabel, Joglekar, Shantanu, Jones, Robert, Kaczirek, Klaus, Kanhere, Harsh, Kausar, Ambareen, Kee, Zhanyi, Keilson, Jessica, Kleef, Jorg, Klose, Johannes, Knowles, Brett, Koong, Jun Kit, Kumar, Nagappan, Kunnuru, Supreeth, Lakhey, Paleswan Joshi, Laurenzi, Andrea, Lee, Yeong Sing, Leon, Felipe, Leow, Voon Meng, Lequeu, Jean-Baptiste, Lesurtel, Mickael, Lo, Elisabeth, Löb, Stefan, Lockie, Elizabeth, Lodge, Peter, López Garnica, Dolores, Lopez Lopez, Victor, Lundgren, Linda, Machairas, Nikolaos, Maharjan, Dhiresh, Malde, Deep, Martel, Guillaume, Martin, Julie, Mazzola, Michele, Mehrabi, Arianeb, Memeo, Ricardo, Milana, Flavio, Molina, George, Monette, Leah, Morgul, Haluk, Moris, Dimitrios, Morsi-Yeroyannis, Antonios, Mowbray, Nicholas, Mulita, Francesk, Muttillo, Edoardo Maria, Nandasena, Malith, Nashidengo, Pueya Rashid, Nickkholgh, Arash, Noel, Colin Byron, Ohtsuka, Masayuki, Ozolins, Arturs, Pandanaboyana, Sanjay, Pararas, Nikolaos, Parente, Alessandro, Peng, June, Perfecto Valero, Arkaitz, Perinel, Julie, Perivoliotis, Konstatinos, Perra, Teresa, Pessaux, Patrick, Petruch, Natalie, Piccolo, Gaetano, Piros, Laszlo, Porcu, Alberto, Prabakaran, Viswakumar, Prasad, Raj, Prieto Calvo, Mikel, Primavesi, Florian, Pueyo Periz, Eva Maria, Quaglia, Alberto, Ramia Angel, Jose M., Rammohan, Ashwin, Razionale, Francesco, Robles Campos, Ricardo, Roy, Manas, Rozwadowski, Sophie, Ruffolo, Luis, Ruiz, Natalia, Ruzzenante, Andrea, Saadat, Lily, Said, Mohamed Amine, Saladino, Edoardo, Saliba, Gabriel, Sandstrom, Per, Schena, Carlo Alberto, Scholer, Anthony, Schwarz, Christoph, Serafini, Lorenzo, Serrano, Pablo E., Sharma, Deepak, Sheen, Aali, Siddagangaiah, Vishwanath, Silva, Michael, Singh, Saurabh, Siriwardena, Ajith, Skalski, Michal, Smig, Mante, Soliman, Faris, Sonkar, Abhinav Arun, Sousa Silva, Donzília, Sparrelid, Ernesto, Srinivasan, Parthi, Sternby Eilard, Malin, Strobel, Oliver, Stupan, Urban, Suarez-Munoz, Miguel Angel, Subramaniam, Manisekar, Sugiura, Teiichi, Sutcliffe, Robert, Swank, Hilko, Taylor, Lillian, Thapa, Prabin Bikram, The, Catherine, Thepbunchonchai, Asara, Thieu, Caman, Tiwari, Navneet, Torzilli, Guido, Tovikkai, Chutwichai, Trotovsek, Blaz, Tsaramanidis, Savvas, Tsoulfas, Georgios, Uesaka, Katsuhiko, Umar, Garzali, Urbani, Lucio, Vailas, Michail, van Dam, Ronald, van de Boezem, Peter, van Laarhoven, Stijn, Vanagas, Tomas, Van Dooren, Mike, Viennet, Manon, Vigano, Luca, Vijayashanker, Aarathi, Villodre, Celia, Wakai, Toshifumi, Workneh, Aklile, Xu, Li, Yamamoto, Masakazu, Yang, Zhiying, Young, Robert, Zivanovic, Marko, Balakrishnan, Anita, Barmpounakis, Petros, Demiris, Nikolaos, Jah, Asif, Spiers, Harry V.M., Talukder, Shibojit, Martin, Jack L., Gibbs, Paul, Harper, Simon J.F., Huguet, Emmanuel L., Kosmoliaptsis, Vasilis, Liau, Siong S., Praseedom, Raaj K., Basu, Bristi, de Aretxabala, Xavier, Lendoire, Javier, Maithel, Shishir, Serrablo, Alejandro, and Adsay, Volkan

Published
2023
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25. Smooth approximations without critical points of continuous mappings between Banach spaces, and diffeomorphic extractions of sets

Author

Azagra, Daniel, Dobrowolski, Tadeusz, and García-Bravo, Miguel

Subjects
Mathematics - Functional Analysis, Mathematics - Differential Geometry
Abstract

Let $E$, $F$ be separable Hilbert spaces, and assume that $E$ is infinite-dimensional. We show that for every continuous mapping $f:E\to F$ and every continuous function $\varepsilon: E\to (0, \infty)$ there exists a $C^{\infty}$ mapping $g:E\to F$ such that $\|f(x)-g(x)\|\leq\varepsilon(x)$ and $Dg(x):E\to F$ is a surjective linear operator for every $x\in E$. We also provide a version of this result where $E$ can be replaced with a Banach space from a large class (including all the classical spaces with smooth norms, such as $c_0$, $\ell_p$ or $L^{p}$, $1

Published
2018

26. Alternative forms of portal vein revascularization in liver transplant recipients with complex portal vein thrombosis

Author

Fundora, Yiliam, Hessheimer, Amelia J., Del Prete, Luca, Maroni, Lorenzo, Lanari, Jacopo, Barrios, Oriana, Clarysse, Mathias, Gastaca, Mikel, Barrera Gómez, Manuel, Bonadona, Agnès, Janek, Julius, Boscà, Andrea, Álamo Martínez, Jose María, Zozaya, Gabriel, López Garnica, Dolores, Magistri, Paolo, León, Francisco, Magini, Giulia, Patrono, Damiano, Ničovský, Jiří, Hakeem, Abdul Rahman, Nadalin, Silvio, McCormack, Lucas, Palacios, Pilar, Zieniewicz, Krzysztof, Blanco, Gerardo, Nuño, Javier, Pérez Saborido, Baltasar, Echeverri, Juan, Bynon, J. Steve, Martins, Paulo N., López López, Víctor, Dayangac, Murat, Lodge, J. Peter A., Romagnoli, Renato, Toso, Christian, Santoyo, Julio, Di Benedetto, Fabrizio, Gómez-Gavara, Concepción, Rotellar, Fernando, Gómez-Bravo, Miguel Ángel, López Andújar, Rafael, Girard, Edouard, Valdivieso, Andrés, Pirenne, Jacques, Lladó, Laura, Germani, Giacomo, Cescon, Matteo, Hashimoto, Koji, Quintini, Cristiano, Cillo, Umberto, Polak, Wojciech G., and Fondevila, Constantino

Published
2023
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27. Design of a Next-Generation Interoperable Cognitive Port Solution

Author

Belsa Pellicer, Andreu, Julian Segui, Matilde, Marinakis, Achilleas, Nikolakopoulos, Anastasios, Moulos, Vrettos, Iturria, Héctor, Antonio Clemente, José, Shahini, Xhulja, Kley, Tristan, Metzger, Andreas, Bravo, Miguel, Calciati, Paolo, Gizelis, Christos-Antonios, Nikolopoulos-Gkamatsis, Filippos, Nestorakis, Konstantinos, Lacalle, Ignacio, Palau, Carlos E., Cáceres, Santiago, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Yung, Moti, Editorial Board Member, González-Vidal, Aurora, editor, Mohamed Abdelgawad, Ahmed, editor, Sabir, Essaid, editor, Ziegler, Sébastien, editor, and Ladid, Latif, editor

Published
2022
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29. Results from the european survey on preoperative management and optimization protocols for PeriHilar cholangiocarcinoma

Author

Sutcliffe, Robert, Olthof, Pim, Ruzzenente, Andrea, Botea, Florin, Gringeri, Enrico, Bartsch, Fabian, Russolillo, Nadia, Sposito, Carlo, Serenari, Matteo, Ardito, Francesco, Garnier, Jonathan, Fretland, Asmund, Ivanecz, Arpad, Scatton, Olivier, Lukashenko, Andrii, Ben, Santi L., Lopez Bravo, Miguel A., Siriwardena, Ajith, Schiesser, Marc, Jovine, Elio, Koerkamp, Bas G., Soubrane, Olivier, Dejong, Cornelis H., Muscari, Fabrice, Trudnikov, Andre, Sallinen, Ville, Sandstrom, Par, Barauskas, Giedrius, Pudil, Jiri, Bjornsson, Bergthor, Schwarz, Lilian, Schadde, Erik, Gruenberger, Thomas, Rotellar, Fernando, Christos, Dervenis, Treska, Vladislav, Fuks, David, Schmidt, Jan, Can, Fatih M., Aranda, Fernando P., Solecki, Michal, Ratti, Francesca, Marino, Rebecca, Muiesan, Paolo, Zieniewicz, Krzysztof, Van Gulik, Tomas, Guglielmi, Alfredo, Marques, Hugo P., Andres, Valdivieso, Schnitzbauer, Andreas, Irinel, Popescu, Schmelzle, Moritz, Sparrelid, Ernesto, Fusai, Giuseppe K., Adam, Renè, Cillo, Umberto, Lang, Hauke, Oldhafer, Karl, Ruslan, Alikhanov, Ciria, Ruben, Ferrero, Alessandro, Mazzaferro, Vincenzo, Cescon, Matteo, Giuliante, Felice, Nadalin, Silvio, Golse, Nicolas, Sulpice, Laurent, Serrablo, Alejandro, Ramos, Emilio, Marchese, Ugo, Rosok, Bard, Lopez-Lopez, Victor, Clavien, Pierre, and Aldrighetti, Luca

Published
2023
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31. Effects of everolimus plus minimized tacrolimus on kidney function in liver transplantation: REDUCE, a prospective, randomized controlled study

Author

A. Gomez-Bravo, Miguel, Prieto, Martin, Navasa, Miquel, SAnchez-Antolin, Gloria, Llado, Laura, Otero, Alejandra, Serrano, Trinidad, Jimenez-Romero, Carlos, Garcia-GonzAlez, Miguel, Valdivieso, Andres, GonzAlez-Dieguez, Maria Luisa, Mata, Manuel de la, Pons, Jose A., Salcedo, Magdalena, Rodrigo, Juan M., Cuervas-Mons, Valentin, GonzAlez, Antonio, Caralt, Mireia, Pardo, Fernando, Varo, Evaristo, Crespo, Gonzalo, Rubin, Angel, Guilera, Magda, Aldea, Anna, and Santoyo, Julio

Published
2022
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32. SAT-027 Women are also disadvantaged in accessing transplant outside the United States: analysis of the spanish liver transplantation registry

Author

Tejedor, Marta, primary, Neria, Fernando, additional, de la Rosa, Gloria, additional, Alvarez, Carolina Almohalla, additional, Padilla, María, additional, Bosca, Andrea, additional, Fundora, Yilliam, additional, Sánchez-Bueno, Francisco, additional, Bravo, Miguel Ángel Gómez, additional, and Berenguer, Marina, additional

Published
2024
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34. Women Are Also Disadvantaged in Accessing Transplant Outside the United States: Analysis of the Spanish Liver Transplantation Registry

Author

Tejedor, Marta, primary, Neria, Fernando, additional, De La Rosa, Gloria, additional, Almohalla Álvarez, Carolina, additional, Padilla, María, additional, Boscà Robledo, Andrea, additional, Fundora Suárez, Yiliam, additional, Sánchez-Bueno, Francisco, additional, Gómez-Bravo, Miguel Angel, additional, and Berenguer, Marina, additional

Published
2024
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46. Reaching a consensus on the definition of “difficult” cholecystectomy among Spanish experts. A Delphi project. A qualitative study

Author

Cudrado, Martín Bailón, Blas Laina, Juan Luis, Suescún, Federico Castillo, García, Ángel Cuadrado, Andorrá, Estaban Cugat, Gómez, Daniel Díaz, Luengas, David Fernández, Ruiz de Gordejuela, Amador García, Gómez Bravo, Miguel Ángel, Ben, Santiago López, Roselló, Alfonso Mansilla, Cruchaga, Pablo Martí, Cecilia, David Martínez, Isla, Alberto Martínez, Pérez, Aleix Martínez, Oliver, Isabel Mora, Prieto, Mikel, Conde, Salvador Morales, Moreno, Carlos, Ortega, Irene, Fabiano, Paola, Picardo, Antonio, Roig, Manuel Planells, Plaza, César Ramírez, Sastre, Fernando Rotellar, Azagra, Santiago, Puy, Ramón Villalonga, María del Villar Moral, Jesús, Quijano, Yolanda, Manuel-Vázquez, Alba, Latorre-Fragua, Raquel, Alcázar, Cándido, Requena, Paola Melgar, de la Plaza, Roberto, Blanco Fernández, Gerardo, Serradilla-Martín, Mario, and Ramia, J.M.

Published
2022
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48. Abdominal normothermic regional perfusion in controlled donation after circulatory determination of death liver transplantation: Outcomes and risk factors for graft loss

Author

Hessheimer, Amelia J., de la Rosa, Gloria, Gastaca, Mikel, Ruíz, Patricia, Otero, Alejandra, Gómez, Manuel, Alconchel, Felipe, Ramírez, Pablo, Bosca, Andrea, López-Andújar, Rafael, Atutxa, Lánder, Royo-Villanova, Mario, Sánchez, Belinda, Santoyo, Julio, Marín, Luís M., Gómez-Bravo, Miguel Á., Mosteiro, Fernando, Villegas Herrera, María T., Villar del Moral, Jesús, González-Abos, Carolina, Vidal, Bárbara, López-Domínguez, Josefina, Lladó, Laura, Roldán, José, Justo, Iago, Jiménez, Carlos, López-Monclús, Javier, Sánchez-Turrión, Víctor, Rodríguez-Laíz, Gonzalo, Velasco Sánchez, Enrique, López-Baena, Jose Á., Caralt, Mireia, Charco, Ramón, Tomé, Santiago, Varo, Evaristo, Martí-Cruchaga, Pablo, Rotellar, Fernando, Varona, María A., Barrera, Manuel, Rodríguez-Sanjuan, Juan C., Briceño, Javier, López, Diego, Blanco, Gerardo, Nuño, Javier, Pacheco, David, Coll, Elisabeth, Domínguez-Gil, Beatriz, and Fondevila, Constantino

Published
2022
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50. Some remarks about The Morse-Sard theorem and approximate differentiability

Author

Azagra, Daniel and García-Bravo, Miguel

Subjects
Mathematics - Functional Analysis, Mathematics - Classical Analysis and ODEs
Abstract

Let $n, m$ be positive integers, $n\geq m$. We make several remarks on the relationship between approximate differentiability of higher order and Morse-Sard properties. For instance, among other things we show that if a function $f:\mathbb{R}^n\to\mathbb{R}^m$ is locally Lipschitz and is approximately differentiable of order $i$ almost everywhere with respect to the Hausdorff measure $\mathcal{H}^{i+m-2}$, for every $i=2, \dots, n-m+1$, then $f$ has the Morse-Sard property (that is to say, the image of the critical set of $f$ is null with respect to the Lebesgue measure in $\mathbb{R}^m$)., Comment: 17 pages

Published
2017

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