English

Atomic decomposition for Morrey-Lorentz spaces

Functional Analysis 2022-12-29 v1

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.

Cite

@article{arxiv.2212.13717,
  title  = {Atomic decomposition for Morrey-Lorentz spaces},
  author = {N. Hatano},
  journal= {arXiv preprint arXiv:2212.13717},
  year   = {2022}
}
R2 v1 2026-06-28T07:54:35.522Z