Atomic decomposition for Morrey-Lorentz spaces
N. Hatano
TL;DR
This paper extends atomic decomposition techniques to Morrey-Lorentz spaces, enabling sharper inequalities and broader applications in harmonic analysis.
Contribution
It introduces an extended atomic decomposition framework for Morrey-Lorentz spaces, enhancing their analytical utility.
Findings
Extended atomic decomposition for Morrey-Lorentz spaces.
Achieved sharper Olsen inequality results.
Broadened applications in harmonic analysis.
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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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Nonlinear Partial Differential Equations · Pelvic and Acetabular Injuries