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LIPSCHITZ ESTIMATES FOR MULTILINEAR COMMUTATOR OF SINGULAR INTEGRAL WITH VARIABLE CALDERÓN-ZYGMUND KERNEL


ZHIQIANG WANG 1, LANZHE LIU 2
1. Changsha University of Science and Technology, Department of Mathematics, Changsha, 410077, P.R.of China
2. Changsha University of Science and Technology, Department of Mathematics, Changsha, 410077, P.R.of China, e-mail: lanzheliu@163.com

Issue:

SSRSMI, Number 2, Volume XX

Section:

Volume 20, Number 2

Abstract:

In this paper, we will study the continuity of a multilinear commutator generated by the singular integral with variable CalderĂłn-Zygmund kernel and the functions bj, on Triebel-Lizorkin space, Hardy space and Herz-Hardy space, where the functions bj belong to the Lipschitz space Lipβ(Rn)

Keywords:

Singular integral with variable CalderĂłn-Zygmund kernel, multilinear commutator, Triebel-Lizorkin space, Herz-Hardy space, Herz space, Lipschitz space.

Code [ID]:

SSRSMI201002V20S01A0011 [0003293]

Full paper:

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