Singular Measures and Convolution Operators

Authors
Aldaz, J. M. Varona, Juan L.
Citation
M. Aldaz, J. et L. Varona, Juan, Singular Measures and Convolution Operators, Acta mathematica Sinica. English series (Print) , 23(3), 2007, pp. 487-490
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
23
Issue
3
Year of publication
2007
Pages
487 - 490
Database
ACNP
SICI code
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.