Pointwise properties of functions of bounded variation in metric spaces

DOI10.1007/s13163-013-0130-6zbMath1295.26012OpenAlexW2004899630WikidataQ109992637 ScholiaQ109992637MaRDI QIDQ395141

Juha Kinnunen, Riikka Korte, Nageswari Shanmugalingam, Heli Tuominen

Publication date: 28 January 2014

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-013-0130-6

zbMATH Keywords

bounded variationPoincaré inequalityLeibniz rulemetric measure spacesfinite perimeterLebesgue pointsapproximate continuitycodimension Hausdorff measurejump sets

Mathematics Subject Classification ID

Functions of bounded variation, generalizations (26A45) Potential theory on fractals and metric spaces (31E05) Analysis on metric spaces (30L99)

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Cites Work

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• Lectures on analysis on metric spaces
• Fine properties of sets of finite perimeter in doubling metric measure spaces
• Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
• Weakly Differentiable Functions
• Sobolev met Poincaré
• Lebesgue points and capacities via boxing inequality in metric spaces