TITLE

Singular Measures and Convolution Operators

AUTHOR(S)
Aldaz, J. M..; Varona, Juan L.
PUB. DATE
March 2007
SOURCE
Acta Mathematica Sinica;Mar2007, Vol. 23 Issue 3, p487
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
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.
ACCESSION #
24500990

 

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