JOURNAL ARTICLE

SHARP ESTIMATES FOR MULTILINEAR COMMUTATOR OF LITTLEWOOD-PALEY OPERATOR

Jinliang HaoLanzhe Liu

Year: 2008 Journal:   Communications of the Korean Mathematical Society Vol: 23 (1)Pages: 49-59   Publisher: Korean Mathematical Society

Abstract

In this paper, we prove the sharp estimates for multilinear commutator related to Littlewood-Paley operator. By using the sharp estimates, we obtained the weighted $L^p$-norm inequality for the multilinear commutator for 1 < p < $\infty$.

Keywords:
Multilinear map Commutator Mathematics Norm (philosophy) Operator (biology) Pure mathematics Algebra over a field Chemistry

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Topics

Advanced Harmonic Analysis Research
Physical Sciences →  Mathematics →  Applied Mathematics
Nonlinear Partial Differential Equations
Physical Sciences →  Mathematics →  Applied Mathematics
Mathematical Analysis and Transform Methods
Physical Sciences →  Mathematics →  Applied Mathematics

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