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

  • ZHIQIANG WANG
    Changsha University of Science and Technology, Department of Mathematics, Changsha, 410077, P.R.of China
  • LANZHE LIU
    Changsha University of Science and Technology, Department of Mathematics, Changsha, 410077, P.R.of China
    lanzheliu@163.com

Abstract

In this paper, we will study the continuity of a multilinear commutator generated by the singular integral with variable Calderón-Zygmund kernel and the functions b<sub>j</sub>, on Triebel-Lizorkin space, Hardy space and Herz-Hardy space, where the functions b<sub>j</sub> belong to the Lipschitz space Lip<sub>&beta;</sub>(R<sup>n</sup>)

Cuvinte cheie

Singular integral with variable Calderón-Zygmund kernel; multilinear commutator; Triebel-Lizorkin space; Herz-Hardy space; Herz space; Lipschitz space