Singular measures and convolution operators
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Universidad de La Rioja
info
ISSN: 0567-7718
Année de publication: 2007
Volumen: 23
Número: 3
Pages: 487-490
Type: Article
D'autres publications dans: Acta Mechanica Sinica
Projets liés
Résumé
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.