LIPSCHITZ ESTIMATES FOR MULTILINEAR COMMUTATOR OF LITTLEWOOD- PALEY OPERATOR

Ying Shen; Lanzhe Liu

LIPSCHITZ ESTIMATES FOR MULTILINEAR COMMUTATOR OF LITTLEWOOD- PALEY OPERATOR

Authors

Ying Shen Changsha University - Department of Mathematics
Lanzhe Liu Changsha University - Department of Mathematics

Keywords:

Littlewood-Paley operator, Multilinear commutator, Triebel- Lizorkin space, Herz-Hardy space, Herz space, Lipschitz space

Abstract

In this paper, we will study the continuity of multilinear commutator generated by Littlewood-Paley operator and the functions bj on Triebel-Lizorkin space, Hardy space and Herz-Hardy space, where the functions bj belong to Lipschiz space.

Cover of n°27 Italian Journal of Pure and Applied Mathematics

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Published

2010-12-15

How to Cite

Shen, Y., & Liu, L. (2010). LIPSCHITZ ESTIMATES FOR MULTILINEAR COMMUTATOR OF LITTLEWOOD- PALEY OPERATOR. Italian Journal of Pure and Applied Mathematics, 27, 209–224. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/5816