Boundedness of operators and inequalities on Morrey–Banach spaces

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Abstract

This paper establishes the boundedness of the spherical maximal function, Rubio de Fran-cia operators, Bochner–Riesz operators, Fourier integral operators, geometric maximal operator, minimal operator and strongly singular integral operators on Morrey spaces built on Banach function spaces. We also establish the Coifman–Fefferman inequalities, Gundy–Wheeden inequalities and Sobolev–Lieb–Thirring inequalities on Morrey–Banach spaces. In particular, our results include the boundedness of the above operators and inequalities on classical Morrey spaces, generalized Morrey spaces, Orlicz–Morrey spaces, Morrey–Lorentz spaces and Morrey spaces with variable exponents. Copyright © 2022 Research Institute for Mathematical Sciences, Kyoto University. All rights reserved.

Original languageEnglish
Pages (from-to)551-557
JournalPublications of the Research Institute for Mathematical Sciences
Volume58
Issue number3
DOIs
Publication statusPublished - Jul 2022

Citation

Ho, K.-P. (2022). Boundedness of operators and inequalities on Morrey–Banach spaces. Publications of the Research Institute for Mathematical Sciences, 58(3), 551-577. doi: 10.4171/PRIMS/58-3-4

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