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arXiv · 2509.05252

Young's inequality for Banach function spaces and its application to the maximal regularity estimate

Toru Nogayama
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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.

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Toru Nogayama. 2025-09-05. Young's inequality for Banach function spaces and its application to the maximal regularity estimate. https://arxiv.org/abs/2509.05252

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