Lebesgue Points of Besov and Triebel–Lizorkin Spaces with Generalized Smoothness

In this article, the authors study the Lebesgue point of functions from Hajłasz–Sobolev, Besov, and Triebel–Lizorkin spaces with generalized smoothness on doubling metric measure spaces and prove that the exceptional sets of their Lebesgue points have zero capacity via the capacities related to thes...

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Auteurs principaux:	Ziwei Li, Dachun Yang, Wen Yuan
Format:	Artigo
Langue:	Inglês
Publié:	MDPI AG 2021-10-01
Collection:	Mathematics
Sujets:	Hajłasz–Sobolev space Hajłasz–Besov space Hajłasz–Triebel–Lizorkin space generalized smoothness Lebesgue point capacity
Accès en ligne:	https://www.mdpi.com/2227-7390/9/21/2724
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