Boundedness for commutators of fractional Hardy operators on Herz spaces |
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作者姓名: | FU Zunwei LIU Zongguang LU Shanzhen |
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作者单位: | 1. School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China; 2. Department of Mathematics, Linyi Normal University, Linyi 276005, China; 3. Department of Mathematics, China University of Mining and Technology, Beijing 100083, China |
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基金项目: | Supported by National Natural Science Foundation of China(Grant No.10571014 10371080),the SEDF of China(Grant No.20040027001) |
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摘 要: | Some boundedness results are established for commutators generated by classical fractional Hardy operators and one-sided CMO functions on the homogeneous Herz spaces, which extends some known results.
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关 键 词: | fractional Hardy operator Hardy’s integral inequality commutator one-sided CMO function homogeneous Herz space. |
Boundedness for commutators of fractional Hardy operators on Herz spaces |
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Authors: | FU Zunwei LIU Zongguang LU Shanzhen |
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Institution: | 1. School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China; 2. Department of Mathematics, Linyi Normal University, Linyi 276005, China; 3. Department of Mathematics, China University of Mining and Technology, Beijing 100083, China |
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Abstract: | Some boundedness results are established for commutators generated by classical fractional Hardy operators and one-sided CMO functions on the homogeneous Herz spaces, which extends some known results. |
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Keywords: | fractional Hardy operator Hardy's integral inequality commutator one-sided CMO function homogeneous Herz space |
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