Lipschitz estimates for multilinear commutator of Litllewood-Paley operator
Kragujevac Journal of Mathematics, Tome 27 (2005) no. 1
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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.