The paper demonstrates necessary conditions for Young's inequality in Banach function spaces, highlighting its impact on maximal regularity estimates for heat equations.
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.
No takes yet. Share an insight, caveat, or question.
Toru Nogayama (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: