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

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

Published:2022-07-12 Issue:1 Volume:2022 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Sarfraz Naqash^ORCID,Aslam Muhammad,Zaman Mir,Jarad Fahd

Abstract

AbstractThis research investigates the boundedness of ap-adic fractional integral operator onp-adic Morrey–Herz spaces. In particular,p-adic central bounded mean oscillations

$(C\dot{M}O)$

(CM˙O)and Lipschitz estimate for commutators of thep-adic fractional integral operator are provided as well.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13660-022-02829-6.pdf

Reference42 articles.

1. Cambridge Studies in Advanced Mathematics;W.H. Schikhof,1984

2. Vladimirov, V.S., Volovich, I.V., Zelenov, E.I.: p-Adic Analysis and Mathematical Physics. World Scientific, Singapore (1994)

3. Gubser, S.S., Knaute, J., Parikh, S., Samberg, A., Witaszczyk, P.: p-Adic AdS/CFT. Commun. Math. Phys. 352, 1019–1059 (2017)

4. Khrennikov, A., Oleschko, K., Lòpez, M.C.: Application of p-adic wavelets to model reaction-diffusion dynamics in random porous media. J. Fourier Anal. Appl. 22, 809–822 (2016)

5. Dragovich, B., Mišic, N.Ž.: p-Adic hierarchical properties of the genetic code. Biosystems 185, 104017 (2019)

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. $$L\log L$$ Type Estimates for Commutators of Fractional Integral Operators on the p-Adic Vector Space;Complex Analysis and Operator Theory;2024-04-09

2. Estimates for $$p$$-adic fractional integral operators and their commutators on $$p$$-adic mixed central Morrey spaces and generalized mixed Morrey spaces;Fractional Calculus and Applied Analysis;2024-04-08

3. Estimate for the Intrinsic Square Function on $$p$$-Adic Herz Spaces with Variable Exponent;p-Adic Numbers, Ultrametric Analysis and Applications;2024-02-12

4. Boundedness of an intrinsic square function on grand $ p $-adic Herz-Morrey spaces;AIMS Mathematics;2023

5. Rough fractional integral and its multilinear commutators on $ p $-adic generalized Morrey spaces;AIMS Mathematics;2023