JournalsrlmVol. 35, No. 1pp. 17–47

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

  • Keng Hao Ooi

    National Central University, Jhongli City, Taoyuan County, Taiwan (R.O.C.)
Characterizations of Sobolev multiplier spaces and their preduals in terms of Littlewood–Paley and Lusin area functions cover
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Abstract

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.

Cite this article

Keng Hao Ooi, Characterizations of Sobolev multiplier spaces and their preduals in terms of Littlewood–Paley and Lusin area functions. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 35 (2024), no. 1, pp. 17–47

DOI 10.4171/RLM/1032