Characterizations of Lorentz Type Sobolev Multiplier Spaces and Their Preduals
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917207760437248 |
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| author | Ooi, Keng Hao |
| author_facet | Ooi, Keng Hao |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_12206 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Characterizations of Lorentz Type Sobolev Multiplier Spaces and Their Preduals Ooi, Keng Hao Functional Analysis Analysis of PDEs 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. |
| title | Characterizations of Lorentz Type Sobolev Multiplier Spaces and Their Preduals |
| topic | Functional Analysis Analysis of PDEs |
| url | https://arxiv.org/abs/2601.12206 |