Singular measures and convolution operators
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Universidad de La Rioja
info
ISSN: 0567-7718
Year of publication: 2007
Volume: 23
Issue: 3
Pages: 487-490
Type: Article
More publications in: Acta Mechanica Sinica
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Abstract
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.