Potential operators, maximal functions, and generalizations of A∞
Author | Pérez Moreno, Carlos
Wheeden, Richard L. |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Date | 2003-08 |
Published in | Potential Analysis, 19 (1), 1-33. |
Document type | Article |
Abstract | We derive weighted norm estimates which relate integral operators of potential type (fractional integrals) to corresponding maximal operators (fractional maximal operators). We also derive norm estimates for the maximal ... We derive weighted norm estimates which relate integral operators of potential type (fractional integrals) to corresponding maximal operators (fractional maximal operators). We also derive norm estimates for the maximal operators. The conditions that we impose on the weights involve A∞ conditions of “content type” which are weaker than the usual A∞ condition. The analysis is carried out in the context of spaces of homogeneous type. |
Cite | Pérez Moreno, C. y Wheeden, R.L. (2003). Potential operators, maximal functions, and generalizations of A∞. Potential Analysis, 19 (1), 1-33. |
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DOI:
10.1023/A:1022449810008
Editor´s version:
http://doi.org/10.1023/A:1022449810008