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

Naqash Sarfraz; Muhammad Bilal Riaz; Qasim Ali Malik; Naqash Sarfraz; Muhammad Bilal Riaz; Qasim Ali Malik

doi:10.3934/math.2024964

AIMS Mathematics

2024, Volume 9, Issue 7: 19756-19770. doi: 10.3934/math.2024964

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Research article

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

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

Received: 12 March 2024 Revised: 27 May 2024 Accepted: 28 May 2024 Published: 17 June 2024
MSC : 26A51, 26A33, 26D10

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.
- $p$-adic sharp maximal function,
- $p$-adic fractional maximal function,
- $p$-adic Morrey spaces,
- Lipschitz space,
- commutators
Citation: Naqash Sarfraz, Muhammad Bilal Riaz, Qasim Ali Malik. Some new characterizations of boundedness of commutators of $p$-adic maximal-type functions on $p$-adic Morrey spaces in terms of Lipschitz spaces[J]. AIMS Mathematics, 2024, 9(7): 19756-19770. doi: 10.3934/math.2024964

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Abstract

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.

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