Functions of bounded variation and the \(AM\)-modulus in \(\mathbb{R}^n\)

DOI10.1016/j.na.2018.05.015zbMath1403.30023OpenAlexW2811329260MaRDI QIDQ1627430

Vendula Honzlová Exnerová, Olli Martio, Jan Malý

Publication date: 22 November 2018

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2018.05.015

zbMATH Keywords

functions of bounded variationmoduli of path families

Mathematics Subject Classification ID

Analysis on metric spaces (30L99)

Related Items (6)

Plans on measures and \textit{AM}-modulus ⋮ Equivalence of two BV classes of functions in metric spaces, and existence of a Semmes family of curves under a 1-Poincaré inequality ⋮ AM‐modulus and Hausdorff measure of codimension one in metric measure spaces ⋮ A version of Stokes's theorem using test curves ⋮ An alternative capacity in metric measure spaces ⋮ Bivariate functions of bounded variation: fractal dimension and fractional integral

Cites Work

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• Functions of bounded variation and curves in metric measure spaces
• Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces
• On the duality between \(p\)-modulus and probability measures
• Quasiopen and \(p\)-path open sets, and characterizations of quasicontinuity
• Nonlinear potential theory on metric spaces
• Extremal length and functional completion
• Measurability of equivalence classes and MEC\(_p\)-property
• Modulus in Banach function spaces
• Equivalent definitions of \(BV\) space and of total variation on metric measure spaces
• The space of functions of bounded variation on curves in metric measure spaces

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