Article
Potential operators, maximal functions, and generalizations of A∞
Author/s | Pérez Moreno, Carlos
Wheeden, Richard L. |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2003-08 |
Deposit Date | 2016-10-10 |
Published in |
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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. |
Funding agencies | Dirección General de Investigación Científica y Técnica (DGICYT). España |
Project ID. | PB940192
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Citation | 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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