Characterizations of Sobolev multiplier spaces and their preduals in terms of Littlewood–Paley and Lusin area functions

Characterizations of Sobolev multiplier spaces and their preduals in terms of Littlewood–Paley and Lusin area functions

We characterize Sobolev multiplier spaces and their preduals in terms of Littlewood–Paley and Lusin area functions. The vector-valued and weighted norm estimates of Hardy–Littlewood maximal operator will be used as the main tools in such characterizations.

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Veröffentlicht in:Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni 2024-06, Vol.35 (1), p.17-47
1. Verfasser: Ooi, Keng Hao
Format: Artikel
Sprache:eng
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Zusammenfassung:We characterize Sobolev multiplier spaces and their preduals in terms of Littlewood–Paley and Lusin area functions. The vector-valued and weighted norm estimates of Hardy–Littlewood maximal operator will be used as the main tools in such characterizations.
ISSN:1120-6330
1720-0768
DOI:10.4171/rlm/1032