Lp ESTIMATES FOR BI-INVARIANT OPERATORS ONCLASSICAL GROUPS

Citation:

Fan Dashan.Lp ESTIMATES FOR BI-INVARIANT OPERATORS ONCLASSICAL GROUPS[J].Chinese Annals of Mathematics B,1996,17(4):434~444
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Authors:

Fan Dashan;

Foundation:

a grant of the Graduate School Research Committee in University of Wisconsin-Milwaukee
Abstract: The main purpose of this paper is to extend to classical groups a H\"ormander multiplier theorem concerning translation invariant operators on $L^p$ spaces which are known for the $n$-torus.

Keywords:

H\"ormander multiplier theorem, $L^p$ space, Classical group, Poisson kernel

Classification:

43A15, 43A77, 22E30
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