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Estimates for \(p\)-adic fractional integral operators and their commutators on \(p\)-adic mixed central Morrey spaces and generalized mixed Morrey spaces

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Abstract

In this paper, we define the \(p\)-adic mixed Morrey type spaces and study the boundedness of \(p\)-adic fractional integral operators and their commutators on these spaces. More precisely, we first obtain the boundedness of \(p\)-adic fractional integral operators and their commutators on \(p\)-adic mixed central Morrey spaces. Moreover, we further extend these results on \(p\)-adic generalized mixed Morrey spaces, when a symbol function \(b\) belongs to the \(p\)-adic generalized mixed Campanato spaces.

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Acknowledgements

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University, Abha 61413, Saudi Arabia for funding this work through research groups program under grant number R.G. P-2/99/44.

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Authors and Affiliations

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

    Naqash Sarfraz & Qasim Ali Malik

  2. Department of Mathematics, College of Sciences, King Khalid University, Abha, 61413, Saudi Arabia

    Muhammad Aslam

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  1. Naqash Sarfraz
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Correspondence to Naqash Sarfraz.

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Sarfraz, N., Aslam, M. & Malik, Q.A. Estimates for \(p\)-adic fractional integral operators and their commutators on \(p\)-adic mixed central Morrey spaces and generalized mixed Morrey spaces. Fract Calc Appl Anal (2024). https://doi.org/10.1007/s13540-024-00274-4

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