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Applied Mathematics A Journal of Chinese Universities  2015, Vol. 30 Issue (3): 321-332    DOI:
    
The boundedness of some multilinear operators on  $B_\sigma$-Morrey spaces
CHEN Dong-xiang, CHEN Pei 
Department of Mathematics, Jiangxi Normal University, Nanchang 330022, China
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Abstract  This paper studies the boundedness of multilinear Hardy-Littlewood maximal operator, multilinear fractional maximal operator, multilinear singular and multilinear fractional integral operators on $B_\sigma$-Morrey spaces.

Key words$B_\sigma$-Morrey space      multilinear singular integral      multilinear Hardy-Littlewood maximal operator      multilinear fractional integral operators     
Received: 16 February 2015      Published: 27 May 2018
CLC:  O174.2  
Cite this article:

CHEN Dong-xiang, CHEN Pei. The boundedness of some multilinear operators on  $B_\sigma$-Morrey spaces. Applied Mathematics A Journal of Chinese Universities, 2015, 30(3): 321-332.

URL:

http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2015/V30/I3/321


几类多线性算子在$B_\sigma$-Morrey空间上的有界性

研究了多线性Hardy-Littlewood极大算子,  多线性分数次极大算子,  多线性奇异积分和分数次积分算子在$B_\sigma$-Morrey空间上的有界性.

关键词: $B_\sigma$-Morrey空间,  多线性奇异积分,  多线性Hardy-Littlewood极大算子,  多线性分数次积分算子 
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