A characterization of BV and Sobolev functions via nonlocal functionals in metric spaces
DOI10.1016/J.NA.2023.113467arXiv2207.02488OpenAlexW4390381847MaRDI QIDQ6153591
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Publication date: 14 February 2024
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.02488
Poincaré inequalityfunction of bounded variationmetric measure spaceSobolev functionnonlocal functional
Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)
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