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Hardy operators and the commutators on Hardy spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2020Publisher:Springer Science and Business Media LLCJournal:Journal of Inequalities and Applications, volume 2,020 (eissn: 1029-242X,

Authors: Zhuang Niu; Shasha Guo; Wenming Li;

doi: 10.1186/s13660-020-02518-2

Hardy operators and the commutators on Hardy spaces

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Abstract

AbstractIn this paper, the boundedness of the classic Hardy operator and its adjoint on Hardy spaces is obtained. We also discuss the boundedness for the commutators generated by the classic Hardy operator and its adjoint with $BMO$ B M O and $CMO(\mathbb{R}^{+})$ C M O ( R + ) functions on Hardy spaces.

Related Organizations

Hebei Normal University
China (People's Republic of)
Hefei Normal University
China (People's Republic of)
Hubei Normal University
China (People's Republic of)
School of Mathematical Sciences
Hefei Normal University
China (People's Republic of)

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Keywords

C M O $CMO$, Hardy operator, QA1-939, Hardy space, Commutators, B M O $BMO$, Mathematics

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