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, Taiwan (R.O.C.)
![Characterizations of Sobolev multiplier spaces and their preduals in terms of Littlewood–Paley and Lusin area functions cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserials%2Fcover-rlm.png&w=3840&q=90)
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. (2024), published online first
DOI 10.4171/RLM/1032