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
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.