Some weighted estimates for the commutators of $p$-adic Hardy operator on two weighted $p$-adic Herz-type spaces

Naqash Sarfraz; Muhammad Aslam; Naqash Sarfraz; Muhammad Aslam

doi:10.3934/math.2021561

AIMS Mathematics

2021, Volume 6, Issue 9: 9633-9646. doi: 10.3934/math.2021561

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Research article

Some weighted estimates for the commutators of $p$-adic Hardy operator on two weighted $p$-adic Herz-type spaces

Naqash Sarfraz ^{1
,
,},
Muhammad Aslam ²

1.
Department of Mathematics, University of Kotli Azad Jammu and Kashmir, Pakistan
2.
Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia

Received: 31 March 2021 Accepted: 23 June 2021 Published: 25 June 2021
MSC : 42B35, 26D15, 46B25, 47G10

In the present artice we discuss the weighted $p$-adic central bounded mean oscillations $(CMO)$ and $p$-adic Lipschtiz estimates for the commutators of $p$-adic Hardy operator on two weighted $p$-adic Herz-type spaces.
- $ p $-adic Hardy operator,
- commutators,
- two weighted $ p $-adic Morrey-Herz spaces,
- central bounded mean oscillations,
- weighted $p$-adic Lipschitz spaces
Citation: Naqash Sarfraz, Muhammad Aslam. Some weighted estimates for the commutators of $p$-adic Hardy operator on two weighted $p$-adic Herz-type spaces[J]. AIMS Mathematics, 2021, 6(9): 9633-9646. doi: 10.3934/math.2021561

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Abstract

In the present artice we discuss the weighted $p$-adic central bounded mean oscillations $(CMO)$ and $p$-adic Lipschtiz estimates for the commutators of $p$-adic Hardy operator on two weighted $p$-adic Herz-type spaces.

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