Existence and uniqueness of limits at infinity for homogeneous Sobolev functions

DOI10.1016/J.JFA.2023.110154arXiv2203.01020MaRDI QIDQ6056511

Khanh Ngoc Nguyen, Pekka Koskela

Publication date: 2 October 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.01020

zbMATH Keywords

metric measure spaceSobolev functionlimit at infinity

Mathematics Subject Classification ID

Boundary behavior of harmonic functions in higher dimensions (31B25) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

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