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SINGULAR MEASURES AND CONVOLUTION OPERATORS
Hardy--Littlewood maximal function Weak type inequalities Singular measures Convolution operators
2007/12/11
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 applicat...
ABSOLUTELY REPRESENTING SYSTEMS AND CONVOLUTION OPERATORS IN THE COMPLEX DOMAIN
CONVOLUTION OPERATORS ABSOLUTELY REPRESENTING SYSTEMS COMPLEX DOMAIN
2010/3/17
The author suggests a method of characterizing of the kernel of a convolution-type operator. The method is based on the exact description of nontrivial expansions of zero of an absolutely representing...