Boundedness for vector-valued multilinear singular integral operator on $L^p$ spaces with variable exponent

Jing Du, Chuangxia Huang, Lanzhe Liu

College of Mathematics, Changsha University of Science and Technology, Changsha, 410077, China

Abstract: In this paper, we prove the boundedness for some vector-valued multilinear singular integral operators on $L^p$ spaces with variable exponent by using a sharp estimate of the multilinear operators.

Keywords and phrases: vector-valued multilinear operator, singular integral operator, BMO, variable $L^p$ space.

MSC: 42B20, 42B25

Received: 06.04.2011
Revised: 19.10.2011

Language: English

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