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
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 bj, on Triebel-Lizorkin space, Hardy space and Herz-Hardy space, where the functions bj belong to the Lipschitz space Lipβ(Rn)