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LIPSCHITZ CONTINUITY FOR MULTI-SUBLINEAR COMMUTATOR OF SOME INTEGRAL OPERATOR


CHEN QIONG 1, LIU LANZHE 2
1. Shuyang Rudong High School, Jiangsu, Shuyang 223600, P.R.of China, email: chenqiong111111@163.com
2. Department of Mathematics, Changsha University of Science and Technology, Changsha 410077, P.R.of China, email: lanzheliu@163.com

Issue:

SSRSMI, Number 1, Volume XX

Section:

Volume 20, Number 1

Abstract:

In this paper, we will study the continuity for some multi-sublinear commutator related to certain integral operator and to a vector Lipschiz function, on Lebesgue spaces, Triebel-Lizorkin spaces, Hardy space and Herz-Hardy spaces.

Keywords:

Multi-sublinear commutator, Integral operator, Triebel-Lizorkin space, Herz-Hardy space, Herz space, Lipschitz space.

Code [ID]:

SSRSMI201001V20S01A0018 [0003183]

DOI:

Full paper:

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