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一类次线性算子在非齐型空间上的Morrey-Herz空间上的有界性 被引量:1

Boundedness of sublinear operators on Morrey-Herz spaces on non-homogenous spaces
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摘要 在非倍测度条件下,建立了一类满足局部尺寸条件的次线性算子在非齐型空间上的Morrey-Herz空间上有的界性.这一类次线性算子包含了分数次积分算子和Hardy-Littlewood极大算子,并获得了这一类次线性算子在非齐型弱Morrey-Herz空间上的弱型估计.推广了一些已知结果. In the non-doubling measure conditions,we establish the boundedness of a class of sublinear operators including fractional integral operators and Hard-littlewood maximal operators on non-homogenous Morrey-Herz spaces,and same weak estimate of these operators are also obtained.Extend some known results.
出处 《安徽工程科技学院学报(自然科学版)》 2010年第4期67-71,共5页 Journal of Anhui University of Technology and Science
基金 安徽省自然科学重点科研基金资助项目(07021019) 安徽省高校自然科学研究基金资助项目(kj2007a009) 安徽省高校青年教师科研资助计划(2006jql042) 安徽师范大学校青年基金项目资助(2006xqn48)
关键词 次线性算子 非齐型空间 MORREY-HERZ空间 HERZ空间 sublinear operators non-homogeneous spaces Morrey-Herz spaces Herz spaces
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共引文献15

同被引文献14

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