June 2023 Preduals of Sobolev Multiplier Spaces for End Point Cases
Keng Hao OOI
Tokyo J. Math. 46(1): 255-281 (June 2023). DOI: 10.3836/tjm/1502179383

Abstract

We characterize the Sobolev multiplier spaces and their preduals for the end point cases. It will be shown that under certain conditions the preduals coincide with the space of Choquet integrals. As an application, the boundedness of the local Hardy-Littlewood maximal function on the preduals will be obtained.

Citation

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Keng Hao OOI. "Preduals of Sobolev Multiplier Spaces for End Point Cases." Tokyo J. Math. 46 (1) 255 - 281, June 2023. https://doi.org/10.3836/tjm/1502179383

Information

Published: June 2023
First available in Project Euclid: 11 November 2022

MathSciNet: MR4609902
zbMATH: 07713970
Digital Object Identifier: 10.3836/tjm/1502179383

Subjects:
Primary: 31C15
Secondary: 42B25

Rights: Copyright © 2023 Publication Committee for the Tokyo Journal of Mathematics

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Vol.46 • No. 1 • June 2023
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