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《Journal of Anhui Normal University(Natural Science)》 2006-01
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Boundedness of Generalized Maximal Operators in Morrey Spaces on Homogeneous Spaces

CHEN Shu-quan,SHU Li-sheng (College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China)  
In this paper,we will discuss boundedness of maximal operators in Morrey spaces,and obtain an equivalent relation between maximal operators M_q and M,that is ‖Mf‖__(L~(p,)(X~+,β))≤C‖f‖__(L~(p,)(X,μ))‖M_qf‖__(L~(p,)(X~+,β))≤C‖f‖__(L~(p,)(X,μ)).
【Fund】: 国家自然科学基金项目(10371087);; 安徽省教育厅自然科学重点科研计划项目(2003kj034zd)
【CateGory Index】: O177
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【References】
Chinese Journal Full-text Database 1 Hits
1 ZHOU Xiao-hong1,2,SHU Li-sheng1 (1.College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241003,China;2.School of Science,Anhui University of Science and Technology,Huainan 232001,China);The Fractional Maximal Operator on Herz Spaces on Spaces of Homogeneous Type[J];Journal of Anhui Normal University(Natural Science);2007-06
【Citations】
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1 CAO Yuru,WU Cuilan(College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China);THE CALDERON-AYGMUND DECOMPOSITION AND APPLICATION ON L~P SPACES[J];Journal of Anhui Normal University(Natural Science);2003-02
【Co-citations】
Chinese Journal Full-text Database 1 Hits
1 CHENG Mei-fang, SHU Li-sheng(College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China);BOUNDEDNESS OF THE MARCINKIEWICZ INTEGRAL ON THE SPACE OF FUNCTIONS OF WEIGHTED BOUNDED[J];Journal of Anhui Normal University(Natural Science);2005-01
【Co-references】
Chinese Journal Full-text Database 1 Hits
1 Liu Zongguang; Zeng Yuesheng(Huaihua Teacher’s College, Hunan 418008);The Herz Spaces on Spaces of Homogeneous Type and Their Applications[J];ACTA MATHEMATIEA SCIENTIA;1999-03
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