Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 25, No. 1, pp. 85-104 (2009)

Lipschitz Estimates for Multilinear Commutator of Littlewood-Paley Operator

Wang Meiling and Liu Lanzhe

Changsha Univesity of Science and Technology and Hunan University, P. R. of China

Abstract: In this paper, we will study the continuity of multilinear commutator generated by Littlewood-Paley operator and Lipschitz functions on Triebel-Lizorkin space, Hardy space and Herz-Hardy space.

Keywords: Littlewood-Paley operator; Multilinear commutator; Triebel-Lizorkin space; Herz-Hardy space; Herz space; Lipschitz space

Classification (MSC2000): 42B20; 42B25

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