Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 English Publisher:WileyJournal:Journal of Function Spaces, volume 2,014, pages 1-9 (issn: 2314-8896, eissn: 2314-8888,

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Authors: Jiang Zhou; Dinghuai Wang;

doi: 10.1155/2014/272864

Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces

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Abstract

(Hpℝn,Lqℝn)bounds of fractional Hardy operators are obtained. Moreover, the estimates for commutators of fractional Hardy operators on Hardy spaces are worked out. It is also proved that the commutators of fractional Hardy operators are mapped from the Herz-type Hardy spaces into the Herz spaces. The estimates for multilinear commutators of fractional Hardy operators are also discussed.

Related Organizations

Minjiang University
China (People's Republic of)
Xinjiang University
China (People's Republic of)

Keywords

Maximal functions, Littlewood-Paley theory, QA1-939, Function spaces arising in harmonic analysis, Mathematics, \(H^p\)-spaces

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