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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2012, Number 3, Pages 3–15 (Mi basm321)  
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
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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.
Received: 06.04.2011
Revised: 19.10.2011
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Document Type: Article
MSC: 42B20, 42B25
Language: English
Citation: Jing Du, Chuangxia Huang, Lanzhe Liu, “Boundedness for vector-valued multilinear singular integral operator on $L^p$ spaces with variable exponent”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2012, no. 3, 3–15
Citation in format AMSBIB
\Bibitem{DuHuaLan12}
\by Jing~Du, Chuangxia~Huang, Lanzhe~Liu
\paper Boundedness for vector-valued multilinear singular integral operator on $L^p$ spaces with variable exponent
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2012
\issue 3
\pages 3--15
\mathnet{http://mi.mathnet.ru/basm321}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3155838}
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