Kragujevac J. Math. 27 - 4 Kragujevac J. Math. 27 (2005) 31-46.

LIPSCHITZ ESTIMATES FOR MULTILINEAR
COMMUTATOR OF LITLLEWOOD-PALEY OPERATOR

Zhang Mingjun and Liu Lanzhe

Department of Mathematics
Hunan University
Changsha, 410082, P.R.of China
(e-mails: zhangmingjun2004@sina.com,  lanzheliu@263.net )

(Received March 11, 2005)

Abstract. In this paper, we will study the continuity of multilinear commutator generated by Littlewood-Paley operator and the of function b, wich belongs to Lipschiz space, in the Triebel-Lizorkin, Hardy and Herz-Hardy space.