Some new characterizations of boundedness of commutators of $p$-adic maximal-type functions on $p$-adic Morrey spaces in terms of Lipschitz spaces

Author:

Sarfraz Naqash1,Riaz Muhammad Bilal23,Malik Qasim Ali1

Affiliation:

1. Department of Mathematics, University of Kotli Azad Jammu and Kashmir, 11100, Pakistan

2. IT4Innovations, VSB-Technical University of Ostrava, Ostrava, Czech Republic

3. Department of Computer Science and Mathematics, Lebanese American University, Byblos, Lebanon

Abstract

<abstract><p>In this note, we investigate some new characterizations of the $p$-adic version of Lipschitz spaces via the boundedness of commutators of the $p$-adic maximal-type functions, including $p$-adic sharp maximal functions, $p$-adic fractional maximal functions, and $p$-adic fractional maximal commutators on $p$-adic Morrey spaces, when a symbol function $b$ belongs to the Lipschitz spaces.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference33 articles.

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2. P. Colmez, Integration sur les variétés p-adiques, Société mathématique de France, 1998.

3. A. Ogus, P. Berthelot, Notes on crystalline cohomology, Princeton University Press, 1978.

4. K. Kedlaya, p-adic differential equations, Cambridge University Press, 2010.

5. L. Berger, La correspondance de Langlands locale $p$-adique pour $GL_{2}(Q_{p})$, Astérisque, 339 (2011), 157–180.

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