$Estimates for p-adic fractional integral operator and its commutators on p-adic Morrey–Herz spaces$

Estimates for p-adic fractional integral operator and its commutators on p-adic Morrey–Herz spaces

This research investigates the boundedness of a p -adic fractional integral operator on p -adic Morrey–Herz spaces. In particular, p -adic central bounded mean oscillations ( C M ˙ O ) and Lipschitz estimate for commutators of the p -adic fractional integral operator are provided as well.

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of inequalities and applications 2022-07, Vol.2022 (1), p.1-17, Article 92
Hauptverfasser:	Sarfraz, Naqash, Aslam, Muhammad, Zaman, Mir, Jarad, Fahd
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Commutators Estimates Fractional calculus Harmonic analysis Mathematics Mathematics and Statistics Numbers p-adic C M ˙ O $C\dot{M}O$ estimates p-adic fractional integral operator p-adic Lipschitz estimates p-adic Morrey–Herz space Partial differential equations
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Beschreibung
Zusammenfassung:	This research investigates the boundedness of a p -adic fractional integral operator on p -adic Morrey–Herz spaces. In particular, p -adic central bounded mean oscillations ( C M ˙ O ) and Lipschitz estimate for commutators of the p -adic fractional integral operator are provided as well.
ISSN:	1029-242X 1025-5834 1029-242X
DOI:	10.1186/s13660-022-02829-6