Potential operators, maximal functions, and generalizations of A∞
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...
| Authors: | , |
|---|---|
| Format: | article |
| Status: | Versión enviada para evaluación y publicación |
| Publication Date: | 2003 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/47245 |
| Online Access: | http://hdl.handle.net/11441/47245 https://doi.org/10.1023/A:1022449810008 |
| Access Level: | Open access |
| Keyword: | Weighted norm estimates Fractional integrals Maximal functions |
| Summary: | 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. |
|---|