Atomic decomposition for Morrey-Lorentz spaces

Published 28 Dec 2022 in math.FA | (2212.13717v1)

Abstract: In this paper, we consider the atomic decomposition for Morrey-Lorentz spaces and applications. Morrey-Lorentz spaces, which have structures of Morrey spaces, Lorentz spaces and their weak-type spaces, are introduced by M. A. Ragusa in 2012. Our study gave some extension of the atomic decomposition to Morrey-Lorentz spaces. As an application, the Olsen inequality can be obtained more sharpness.

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N. Hatano

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