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加权Morrey-Herz空间上的广义Hausdorff算子 被引量:2

Generalized Hausdorff Operators on Weighted Morrey-Herz Spaces
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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. We introduce the new generalized Hausdorff operators. It includes many famous operators as special cases. We obtain the necessary and sufficient conditions for these operators to be bounded on the weighted new operator norm inequalities are obtained. generalizations of many known results. Morrey-Herz spaces, the corresponding They are significant improvements and
作者 匡继昌
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2012年第5期895-902,共8页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金资助项目(10971062)
关键词 Hausdorff算子 加权MORREY-HERZ空间 算子范数不等式 Hausdorff operator weighted Morrey-Herz space operator norm inequal-ity
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