On rough traces of BV functions

DOI10.1016/j.matpur.2022.12.002OpenAlexW3180282701MaRDI QIDQ2111984

Panu Lahti

Publication date: 17 January 2023

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.06588

zbMATH Keywords

function of bounded variationmetric measure space

Mathematics Subject Classification ID

Analysis on metric spaces (30L99)

Cites Work

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• Pointwise properties of functions of bounded variation in metric spaces
• Nonlinear potential theory on metric spaces
• A characterization of Newtonian functions with zero boundary values
• Functions of bounded variation on ``good metric spaces
• Poincaré inequalities, uniform domains and extension properties for Newton-Sobolev functions in metric spaces
• The BV-capacity in metric spaces
• Quasiconformal maps in metric spaces with controlled geometry
• Fine properties of sets of finite perimeter in doubling metric measure spaces
• Trace theorems for functions of bounded variation in metric spaces
• Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
• Poincaré inequalities and Newtonian Sobolev functions on noncomplete metric spaces
• A sharp Leibniz rule for BV functions in metric spaces
• Federer's characterization of sets of finite perimeter in metric spaces
• A new Federer-type characterization of sets of finite perimeter
• Trace and extension theorems for functions of bounded variation
• Rough traces of BV functions in metric measure spaces
• Sobolev Spaces on Metric Measure Spaces
• Sobolev Spaces

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