The fall of the doubling condition in Calderón-Zygmund theory
type: Item
instance of: scholarly article
title: The fall of the doubling condition in Calderón-Zygmund theory
zbMATH Open document ID: 1025.42008
author: J. Verdera
published in: Publicacions Matemàtiques
publication date: 2003-11-26T00:00:00Z
full work available at URL: https://eudml.org/doc/41617
review text: Many results of standard Calderón-Zygmund theory have recently been extended to more general non-homogeneous contexts, where the standard doubling condition need not be satisfied. The author describes the reasons that caused him to study singular integrals of Calderón-Zygmund type on non-homogeneous spaces. The author also describes some of the technical devices that made it possible to dispense with the doubling condition.
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 30E20
Mathematics Subject Classification ID: 31A15
Mathematics Subject Classification ID: 30C85
zbMATH DE Number: 1881293
zbMATH Keywords: Calderón-Zygmund operator
zbMATH Keywords: doubling measure
zbMATH Keywords: analytic capacity
MaRDI profile type: Publication
DOI: 10.5565/PUBLMAT_ESCO02_12
description: scientific article; zbMATH DE number 1881293