加权Morrey-Herz空间上的广义 Hausdorff 算子

匡继昌

数学学报 ›› 2012, Vol. 55 ›› Issue (5) : 895-902.

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PDF(420 KB)
数学学报 ›› 2012, Vol. 55 ›› Issue (5) : 895-902. DOI: 10.12386/A2012sxxb0086
论文

加权Morrey-Herz空间上的广义 Hausdorff 算子

    匡继昌
作者信息 +

Generalized Hausdorff Operators on Weighted Morrey-Herz Spaces

    Ji Chang KUANG
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文章历史 +

摘要

引入了一种新的广义Hausdorff算子.它包括了许多著名的算子作为其特殊情形. 我们得到了这些算子在加权Morrey-Herz空间上有界的充分必要条件, 还得到了相应的新的算子范数不等式. 它们是许多著名结果有意义的改进和推广.

Abstract

We introduce the new generalized Hausdorff operators.It includes many famous operators as special cases.We obtain the necessary and suffcient conditions for these operators to be bounded on the weighted Morrey-Herz spaces,the corresponding new operator norm inequalities are obtained.They are significant improvements and generalizations of many known results.

关键词

Hausdorff 算子 / 加权 Morrey-Herz 空间 / 算子范数不等式

Key words

Hausdorff operator / weighted Morrey-Herz space / operator norm inequality

引用本文

导出引用
匡继昌. 加权Morrey-Herz空间上的广义 Hausdorff 算子. 数学学报, 2012, 55(5): 895-902 https://doi.org/10.12386/A2012sxxb0086
Ji Chang KUANG. Generalized Hausdorff Operators on Weighted Morrey-Herz Spaces. Acta Mathematica Sinica, Chinese Series, 2012, 55(5): 895-902 https://doi.org/10.12386/A2012sxxb0086

参考文献

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基金

国家自然科学基金资助项目(10971062)
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