Integral Operators on Generalized Weighted Central Morrey Spaces over Local Fields
Functional Analysis
2025-06-16 v1
Abstract
We introduce generalised weighted central Morrey spaces over local fields and obtain a quantitative estimate for the boundedness of the Hardy--Hilbert-type integral operator on these newly introduced spaces, albeit specifically in the context of power-weighted spaces. A similar estimate is also obtained for the Hardy--Littlewood--P\'olya operator.
Cite
@article{arxiv.2506.11494,
title = {Integral Operators on Generalized Weighted Central Morrey Spaces over Local Fields},
author = {Salman Ashraf and Humberto Rafeiro},
journal= {arXiv preprint arXiv:2506.11494},
year = {2025}
}