The fall of the doubling condition in Calderón-Zygmund theory
Verdera, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2002
Abstract:	The most important results of standard Calderón-Zygmund Theory have recently been extended to very general non-homogeneous contexts. In this survey paper we describe these extensions and their striking applications to removability problems for bounded analytic functions. We also discuss some of the techniques that allow us to dispense with the doubling condition in dealing with singular integrals. Special attention is paid to the Cauchy Integral.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Calderón-Zygmund operator ; Doubling measure ; Analytic capacity
Published in:	Publicacions matemàtiques, Vol. Extra (2002) , p. 275-292, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/38040
DOI: 10.5565/PUBLMAT_Esco02_12

18 p, 275.1 KB

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