Equivalence of two BV classes of functions in metric spaces, and existence of a Semmes family of curves under a 1-Poincaré inequality

DOI10.1515/acv-2018-0056zbMath1480.26004arXiv1809.03861OpenAlexW2963832974WikidataQ109993830 ScholiaQ109993830MaRDI QIDQ831232

Riikka Korte, Nageswari Shanmugalingam, Sylvester Eriksson-Bique, Estibalitz Durand-Cartagena

Publication date: 11 May 2021

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.03861

zbMATH Keywords

bounded variationmetric measure spaceAM-modulus1-Poincaré inequalitySemmes pencil of curves

Mathematics Subject Classification ID

Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Functions of bounded variation, generalizations (26A45) Potential theory on fractals and metric spaces (31E05) Analysis on metric spaces (30L99)

Related Items (4)

Plans on measures and \textit{AM}-modulus ⋮ On master test plans for the space of BV functions ⋮ Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential ⋮ Metric currents and the Poincaré inequality

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