Characterizations of Lorentz Type Sobolev Multiplier Spaces and Their Preduals

Published 18 Jan 2026 in math.FA and math.AP | (2601.12206v1)

Abstract: We provide several characterizations of Sobolev multiplier spaces of Lorentz type and their preduals. Block decomposition and Köthe dual of such preduals are discussed. As an application, the boundedness of local Hardy-Littlewood maximal function on these spaces will be justified.

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Keng Hao Ooi

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