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Your search keyword '"Karlovich, Alexei Yu."' showing total 14 results
Start Over Author "Karlovich, Alexei Yu." Topic 46e30
14 results on '"Karlovich, Alexei Yu."'

3. Semi-Fredholm singular integral operators with piecewise continuous coefficients on weighted variable Lebesgue spaces are Fredholm

Author

Karlovich, Alexei Yu.

Subjects
Mathematics - Functional Analysis, 47B35, 47A53, 45E05, 46E30
Abstract

Suppose $\Gamma$ is a Carleson Jordan curve with logarithmic whirl points, $\varrho$ is a Khvedelidze weight, $p:\Gamma\to(1,\infty)$ is a continuous function satisfying $|p(\tau)-p(t)|\le -\mathrm{const}/\log|\tau-t|$ for $|\tau-t|\le 1/2$, and $L^{p(\cdot)}(\Gamma,\varrho)$ is a weighted generalized Lebesgue space with variable exponent. We prove that all semi-Fredholm operators in the algebra of singular integral operators with $N\times N$ matrix piecewise continuous coefficients are Fredholm on $L_N^{p(\cdot)}(\Gamma,\varrho)$., Comment: 16 pages

Published
2007

6. Singular Integral Operators on Variable Lebesgue Spaces with Radial Oscillating Weights

Author

Karlovich, Alexei Yu., Gohberg, I., editor, Alpay, D., editor, Arazy, J., editor, Atzmon, A., editor, Ball, J. A., editor, Bart, H., editor, Ben-Artzi, E., editor, Bercovici, H., editor, Böttcher, A., editor, Clancey, K., editor, Curto, R., editor, Davidson, K. R., editor, Demuth, M., editor, Dijksma, A., editor, Douglas, R. G., editor, Duduchava, R., editor, Ferreira dos Santos, A., editor, Frazho, A. E., editor, Fuhrmann, P. A., editor, Gramsch, B., editor, Kaper, H. G., editor, Kuroda, S. T., editor, Lerer, L. E., editor, Mityagin, B., editor, Olshevski, V., editor, Putinar, M., editor, Ran, A. C. M., editor, Rodman, L., editor, Rovnyak, J., editor, Schulze, B.-W., editor, Speck, F., editor, Spitkovsky, I. M., editor, Treil, S., editor, Tretter, C., editor, Upmeier, H., editor, Vasilevski, N., editor, Verduyn-Lunel, S., editor, Voiculescu, D., editor, Xia, D., editor, Yafaev, D., editor, Grobler, J. J., editor, Labuschagne, L. E., editor, and Möller, M., editor

Published
2010
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7. Singular Integral Operators on Variable Lebesgue Spaces over Arbitrary Carleson Curves

Author

Karlovich, Alexei Yu., Dym, Harry, Ball, Joseph A., Kaashoek, Marinus A., Langer, Heinz, Tretter, Christiane, Adamyan, Vadim, Böttcher, Albrecht, Brown, B. Malcolm, Curto, Raul, Gesztesy, Fritz, Kurasov, Pavel, Lerer, Leonid E., Paulsen, Vern, Putinar, Mihai, Rodman, Leiba, Spitkovsky, Ilya M., Coburn, Lewis A., Foias, Ciprian, Helton, J. William, Kailath, Thomas, Lancaster, Peter, Lax, Peter D., Sarason, Donald, Silbermann, Bernd, Widom, Harold, and Bolotnikov, Vladimir

Published
2010
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12. Algebras of Continuous Fourier Multipliers on Variable Lebesgue Spaces.

Author

Karlovich, Alexei Yu.

Abstract

We show that several definitions of algebras of continuous Fourier multipliers on variable Lebesgue spaces over the real line are equivalent under some natural assumptions on variable exponents. Some of our results are new even in the case of standard Lebesgue spaces and give answers on two questions about algebras of continuous Fourier multipliers on Lebesgue spaces over the real line posed by Mascarenhas, Santos and Seidel. [ABSTRACT FROM AUTHOR]

Published
2020
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13. d-Modified Riesz Potentials on Central Campanato Spaces

Author

Matsuoka, Katsuo, Gohberg, Israel, Founding Editor, Ball, Joseph A., Series Editor, Böttcher, Albrecht, Series Editor, Dym, Harry, Series Editor, Langer, Heinz, Series Editor, Tretter, Christiane, Series Editor, Bastos, M. Amélia, editor, Castro, Luís, editor, and Karlovich, Alexei Yu., editor

Published
2021
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