Differentiating maps into \(L^1\), and the geometry of BV functions

DOI10.4007/annals.2010.171.1347zbMath1194.22009arXivmath/0611954OpenAlexW2049600041MaRDI QIDQ974067

Bruce Kleiner, Jeff Cheeger

Publication date: 27 May 2010

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611954

zbMATH Keywords

Heisenberg groupfunction of bounded variationLipschitz mapdifferentiation theorytotal perimeter

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Analysis on real and complex Lie groups (22E30) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

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