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Continuité sur les espaces de tentes par extrapolation

Authors :
Auscher, Pascal
Prisuelos-Arribas, Cruz
Laboratoire de Mathématiques d'Orsay (LM-Orsay)
Centre National de la Recherche Scientifique (CNRS)-Université Paris-Sud - Paris 11 (UP11)
Instituto de Ciencias Matemáticas (ICMAT)
Universidad Carlos III de Madrid [Madrid] (UC3M)-Universidad Autonoma de Madrid (UAM)-Consejo Superior de Investigaciones Científicas [Madrid] (CSIC)-Universidad Complutense de Madrid = Complutense University of Madrid [Madrid] (UCM)
ANR-12-BS01-0013,HAB,Aux frontières de l'analyse Harmonique(2012)
Universidad Carlos III de Madrid [Madrid] (UC3M)-Universidad Complutense de Madrid = Complutense University of Madrid [Madrid] (UCM)-Universidad Autonoma de Madrid (UAM)-Consejo Superior de Investigaciones Científicas [Madrid] (CSIC)
Source :
Mathematische Zeitschrift, Mathematische Zeitschrift, Springer, 2017, 286 (3-4), pp.1575-1604
Publication Year :
2017
Publisher :
HAL CCSD, 2017.

Abstract

International audience; We study the action of operators on tent spaces such as maximal operators, Calderón-Zygmund operators, Riesz potentials. We also consider singular non-integral operators. We obtain boundedness as an application of extrapolation methods in the Banach range. In the non Banach range, boundedness results for Calderón-Zygmund operators follows by using an appropriate atomic theory. We end with some consequences on amalgalm spaces.

Details

Language :
English
ISSN :
00255874 and 14321823
Database :
OpenAIRE
Journal :
Mathematische Zeitschrift, Mathematische Zeitschrift, Springer, 2017, 286 (3-4), pp.1575-1604
Accession number :
edsair.dedup.wf.001..c98af250d9c2ae85a928dd6a0e6536dd