The fall of the doubling condition in Calderón-Zygmund theory.

Joan Verdera

Publicacions Matemàtiques (2002)

  • Volume: 46, Issue: Extra, page 275-292
  • ISSN: 0214-1493

Abstract

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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.[Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].

How to cite

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Verdera, Joan. "The fall of the doubling condition in Calderón-Zygmund theory.." Publicacions Matemàtiques 46.Extra (2002): 275-292. <http://eudml.org/doc/41617>.

@article{Verdera2002,
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.[Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].},
author = {Verdera, Joan},
journal = {Publicacions Matemàtiques},
keywords = {Calderón-Zygmund operator; doubling measure; analytic capacity},
language = {eng},
number = {Extra},
pages = {275-292},
title = {The fall of the doubling condition in Calderón-Zygmund theory.},
url = {http://eudml.org/doc/41617},
volume = {46},
year = {2002},
}

TY - JOUR
AU - Verdera, Joan
TI - The fall of the doubling condition in Calderón-Zygmund theory.
JO - Publicacions Matemàtiques
PY - 2002
VL - 46
IS - Extra
SP - 275
EP - 292
AB - 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.[Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].
LA - eng
KW - Calderón-Zygmund operator; doubling measure; analytic capacity
UR - http://eudml.org/doc/41617
ER -

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