Boundedness for commutators of fractional Hardy operators on Herz spaces (Q881949)

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scientific article; zbMATH DE number 5155137
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Boundedness for commutators of fractional Hardy operators on Herz spaces
scientific article; zbMATH DE number 5155137

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    Boundedness for commutators of fractional Hardy operators on Herz spaces (English)
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    18 May 2007
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    As mentioned in the 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 extend some known results. References are made to the following which motivated the present work: \textit{G. A. Bliss} [J. Lond. Math. Soc. 5, 40--46 (1930; JFM 56.0434.02)] and \textit{S. Long} and \textit{J. Wang} [J. Math. Anal. Appl. 274, No.~2, 626--644 (2002; Zbl 1022.42011)].
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    Hardy's integral inequality
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