BOUNDEDNESS FOR MULTILINEAR COMMUTATOR ASSOCIATED WITH LITTLEWOOD-PALEY OPERATOR ON TWO SPACES.

Authors :: Mingjun Zhang
Yanfeng Guo
Naixiong Li
Source :: Facta Universitatis, Series: Mathematics & Informatics. 2015, Vol. 30 Issue 1, p1-12. 12p.
Publication Year :: 2015
Abstract: In this paper, the (Hbp, Lp) and (HKq,bα,p, Kqα,p) type boundedness for the multilinear commutator associated with the Littlewood-Paley operator on Hardy and Herz-Hardy spaces are obtained, using some techniques for classical inequalities. [ABSTRACT FROM AUTHOR]

Subjects :: *BOUNDED arithmetics
*MULTILINEAR algebra
*COMMUTATORS (Operator theory)
*LITTLEWOOD-Paley theory
*HARDY spaces
*MATHEMATICAL inequalities

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