Explicit constants for Hardy＇s inequality with power weight on n-dimensional product spaces

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：yy20092

【摘要】

：

In this paper, Hardy operator H on n-dimensional product spaces G = (0, ∞)n and its adjoint operator H* are investigated. We use novel methods to obtain two ma

【作者】

：

WANG ShiMo LU ShanZhen YAN Dun

【机构】

：

SchoolofMathematicsScience,SchoolofMathematics,SchoolofMathematics

【出处】

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中国科学：数学英文版

【发表日期】

：

2012年12期

【关键词】

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HARDY不等式 N维空间产品重量功率常数运营商算子 n-dimensional Hardy operator Hausdorff-Young i

【基金项目】

：

supported by National Natural Science Foundation of China （Grant Nos. 11071250 and 10931001）. The authors cordially thank the referees and the editors for their careful reading of the paper and valuab

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In this paper, Hardy operator H on n-dimensional product spaces G = (0, ∞)n and its adjoint operator H* are investigated. We use novel methods to obtain two main results. One is that we characterize the sufficient and necessary conditions for the operator

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Explicit constants for Hardy＇s inequality with power weight on n-dimensional product spaces

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