Integral Operators on Generalized Weighted Central Morrey Spaces over Local Fields

Published 13 Jun 2025 in math.FA | (2506.11494v1)

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.

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