Boundedness of composition operator in Orlicz-Morrey spaces
Functional Analysis
2024-04-16 v2
Abstract
In this paper, we investigate necessary and sufficient conditions on the boundedness of composition operators on the Orlicz-Morrey spaces. The results of boundedness include Lebesgue and generalized Morrey spaces as special cases. Further, we characterize the boundedness of composition operators on the weak Orlicz-Morrey spaces. The weak Orlicz-Morrey spaces contain the Orlicz-Morrey spaces.
Cite
@article{arxiv.2403.09839,
title = {Boundedness of composition operator in Orlicz-Morrey spaces},
author = {Masahiro Ikeda and Isao Ishikawa and Ryota Kawasumi},
journal= {arXiv preprint arXiv:2403.09839},
year = {2024}
}
Comments
27 pages