Commutators of generalized Hardy operators |
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| Authors: | Zunwei Fu Shanzhen Lu |
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| Affiliation: | 1. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, P. R. China;2. Department of Mathematics, Linyi Normal University, Linyi, 276005, P. R. China;3. Phone: +86 010 58803527, Fax: +86 010 58808202 |
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| Abstract: | LetHa,b be the commutator generated by the generalized Hardy operator and the CMO function. The (Lp, Lp) boundedness of Ha,b is discussed in this paper. Furthermore, the authors consider the boundedness of Ha,b on the weighted homogeneous Herz spaces (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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| Keywords: | Generalized Hardy operator Hardy's integral inequality commutator CMO function homogeneous Herz space |
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