LIPSCHITZ ESTIMATES FOR MULTILINEAR COMMUTATOR OF SINGULAR INTEGRAL WITH VARIABLE CALDERĂN-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
In this paper, we will study the continuity of a multilinear commutator generated by the singular integral with variable CalderĂłn-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)