Hardy operators and the commutators on Hardy spaces

In 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 B M O and C M O ( R + ) functions on Hardy spaces.

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of inequalities and applications 2020-12, Vol.2020 (1), p.1-11, Article 254
Hauptverfasser:	Niu, Zhuang, Guo, Shasha, Li, Wenming
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics B M O $BMO C M O $CMO Commutators Hardy operator Hardy space Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In 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 B M O and C M O ( R + ) functions on Hardy spaces.
ISSN:	1029-242X 1025-5834 1029-242X
DOI:	10.1186/s13660-020-02518-2