Young's inequality for Banach function spaces and its application to the maximal regularity estimate
Functional Analysis
2025-09-08 v1 Classical Analysis and ODEs
Abstract
The goal of this paper is to give the necessary and sufficient condition for Banach function spaces on which Young's inequality holds. As an application, we consider the maximal regularity estimate of heat equations for Besov spaces associated with Banach function spaces.
Keywords
Cite
@article{arxiv.2509.05252,
title = {Young's inequality for Banach function spaces and its application to the maximal regularity estimate},
author = {Toru Nogayama},
journal= {arXiv preprint arXiv:2509.05252},
year = {2025}
}
Comments
16 pages