Characterizations of Lorentz Type Sobolev Multiplier Spaces and Their Preduals
Functional Analysis
2026-01-21 v1 Analysis of PDEs
Abstract
We provide several characterizations of Sobolev multiplier spaces of Lorentz type and their preduals. Block decomposition and K\"othe dual of such preduals are discussed. As an application, the boundedness of local Hardy-Littlewood maximal function on these spaces will be justified.
Keywords
Cite
@article{arxiv.2601.12206,
title = {Characterizations of Lorentz Type Sobolev Multiplier Spaces and Their Preduals},
author = {Keng Hao Ooi},
journal= {arXiv preprint arXiv:2601.12206},
year = {2026}
}