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Integral Operators on Fractional Cesàro--Morrey Spaces over ℚp
Abstract
In this paper, we introduce fractional Cesàro--Morrey function spaces over p-adic fields and investigate their fundamental properties. We first study the behavior of dilation operators on these spaces and establish a Minkowski-type integral inequality. We then prove the boundedness of p-adic Hardy--Hilbert--type integral operators on fractional Cesàro--Morrey function spaces. As an applications, we derive the p-adic Hardy inequality, the Hilbert inequality, and the Hardy--Littlewood--Pólya inequality. Finally, we establish the boundedness of the Erdélyi--Kober fractional integral operator and the Hadamard fractional integral operator on these spaces.
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BibTeX
@misc{jahan2026integral,
title = {{Integral Operators on Fractional Cesàro--Morrey Spaces over $\mathbbQ_p$}},
author = {Qaiser Jahan and Rishabh Saini},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.27578},
eprint = {2609.27578},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.27578},
}
RIS
TY - UNPB
TI - Integral Operators on Fractional Cesàro--Morrey Spaces over ℚ_p
AU - Qaiser Jahan
AU - Rishabh Saini
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2609.27578
UR - https://arxiv.org/abs/2609.27578
AB - In this paper, we introduce fractional Cesàro--Morrey function spaces over p-adic fields and investigate their fundamental properties. We first study the behavior of dilation operators on these spaces and establish a Minkowski-type integral inequality. We then prove the boundedness of p-adic Hardy--Hilbert--type integral operators on fractional Cesàro--Morrey function spaces. As an applications, we derive the p-adic Hardy inequality, the Hilbert inequality, and the Hardy--Littlewood--Pólya inequality. Finally, we establish the boundedness of the Erdélyi--Kober fractional integral operator and the Hadamard fractional integral operator on these spaces.
ER -