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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Bibliographic Details
Main Authors: Ziwei Li, Dachun Yang, Wen Yuan
Format: article
Language:EN
Published: MDPI AG 2021
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Online Access:https://doaj.org/article/c2f09e2e19ef4920b1c8c2141be91e07
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