Boundedness of Operators and Inequalities on Morrey–Banach Spaces
Kwok-Pun Ho
The Education University of Hong Kong, China
Abstract
This paper establishes the boundedness of the spherical maximal function, Rubio de Francia 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.
Cite this article
Kwok-Pun Ho, Boundedness of Operators and Inequalities on Morrey–Banach Spaces. Publ. Res. Inst. Math. Sci. 58 (2022), no. 3, pp. 551–577
DOI 10.4171/PRIMS/58-3-4