Singular measures and convolution operators
We show that in the study of certain convolution operators, functions can be replaced by measures without changing the size of the constants appearing in weak type (1, 1) inequalities. As an application, we prove that the best constants for the centered Hardy-Littlewood maximal operator associated w...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2007 |
| País: | España |
| Recursos: | Universidad de La Rioja (UR) |
| Repositorio: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc6a1fb750603269e82769 |
| Acesso em linha: | https://investigacion.unirioja.es/documentos/5bbc6a1fb750603269e82769 |
| Access Level: | acceso abierto |
| Palavra-chave: | Convolution operators Hardy-Littlewood maximal function Singular measures Weak type inequalities |
| Resumo: | We show that in the study of certain convolution operators, functions can be replaced by measures without changing the size of the constants appearing in weak type (1, 1) inequalities. As an application, we prove that the best constants for the centered Hardy-Littlewood maximal operator associated with parallelotopes do not decrease with the dimension. © Springer-Verlag Berlin Heidelberg 2007. |
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