| 乘积型Morrey空间中乘积Hardy型算子的最佳界 |
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| 引用本文： | 张兴松,燕敦验,魏明权. 乘积型Morrey空间中乘积Hardy型算子的最佳界[J]. 数学进展, 2021, 0(2): 168-176 |
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| 作者姓名： | 张兴松 燕敦验 魏明权 |
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| 作者单位： | 中国科学院大学数学科学学院;中国人民大学附属中学朝阳学校;信阳师范学院数学与统计学院 |
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| 基金项目： | Supported by NSFC(No.11871452);Natural Science Foundation of Henan Province of China(No.202300410338);Project of Henan Provincial Department of Education(No.18A110028);the Nanhu Scholar Program for Young Scholars of Xinyang Normal University。 |
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| 摘 要： | 本文得到了乘积Hardy型算子flm在乘积Morrey空间Lq,λ(Rn×…×Rn)和齐次中心Morrey空间Bq,λ(Rn×...× Rn)上的算子范数.基于旋转方法,我们推广了傅尊伟等人的结果(见[Houston J.Math.,2012,38(1):225-244]).
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| 关 键 词： | Hardy型算子 乘积Morrey空间 最佳界 |
Sharp Bounds for Product Hardy-type Operators on Product Morrey Spaces |
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| ZHANG Xingsong,YAN Dunyan,WEI Mingquan. Sharp Bounds for Product Hardy-type Operators on Product Morrey Spaces[J]. Advances in Mathematics(China), 2021, 0(2): 168-176 |
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| Authors: | ZHANG Xingsong YAN Dunyan WEI Mingquan |
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| Affiliation: | (School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing,100049,P.R.China;RDFZ Chaoyang School,Beijing,100028,P.R.China;School of Mathematics and Statistics,Xinyang Normal University,Xinyang,Henan,464000,P.R.China) |
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| Abstract: | In this paper,we obtain the operator norm of the product Hardy-type operator Hm defined on product Morrey space Lq,λ(Rn×···×Rn)and homogeneous central Morrey space Bq,λ(Rn×…×Rn).Our results base on a rotation method and extend the results of Fu et al.[Houston J.Math.,2012,38(1):225-244]. |
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| Keywords: | Hardy type operators product Morrey spaces sharp bounds |
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