LIPSCHITZ CONTINUITY FOR MULTI-SUBLINEAR COMMUTATOR OF SOME INTEGRAL OPERATOR

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

Cuvinte cheie

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