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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:

2011年04期

Page:

21-25

Research Field:

数学

Publishing date:

Info

Title:

Estimates for Multilinear Commtators of Fractional Integrals in Homogeneous Type Herz-Morrey Spaces

Author(s):

Ge Renfu¹; Xu Guohua²

1.Department of Mathematical,Lianyungang Teachers College,Lianyungang 222006,China

Keywords:

Herz-Morrey space; multilinear; commutator

PACS:

O177

DOI:

-

Abstract:

In this paper， the boundedness of a class of multilinear commutators generated by linear operators which satisfies the size candition and RBMO functions on homogeneous type Herz-Morrey space was proved． As special cases， the properties of fractional multilinear commutators was obtained．

References:

［1］ Pan Wenjie． Fractional integral and weighted inequalities of maximum functions on spaces of homogeneous type［J］． Journal of Beijing University: Natural Science Edition，1990，26( 5) : 543-553．
［2］ Calderón A P． Inequalities for the maximal function realted to a metric［J］． Studia Math，1972( 62) : 297-306．
［3］ Coifman R R，Rochberg R，Weiss G． Fractorization theorems for Hardy spaces in several variables［J］． Ann of Math，1976， 103( 2) : 611-635．
［4］ Chanillo S． A note on commutators［J］． Indiana Univ Math J，1982， 31: 7-16．
［5］ Lu Shanzhen，Yang Dachun． The continuity of commutators on Herz-type spaces［J］． Michigan Math J，1997，44: 255-281．
［6］ Perez C． Sharp estimates for commutators of singular integrals viaiterations of Hardy-Littlewood maximal function［J］． Four Anal Appl， 1997，3 : 743-756．
［7］ Perez C，Trujillo-Gonealee R． Sharp weighted estimates for multilinear commutators［J］． J London Math Soc， 2002， 65( 2) : 672-692．
［8］ 周伟军，马柏林，徐景实． 分数次多线性交换子在Herz 空间上的有界性［J］． J Sys Sci ＆ Math Scis， 2005， 25( 2) : 160- 169．

Memo

Memo:

-

Common functions

Last Update: 2013-03-21