The chain rule and a compactness theorem for \(BV\) functions in the Heisenberg group \(\mathbf H^{n}\)

DOI10.1016/S0022-247X(03)00560-2zbMath1031.22003MaRDI QIDQ1414189

Ying-Qing Song, Xiao-Ping Yang

Publication date: 19 November 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Heisenberg groupbounded H-variationchain rule: compactness theoremdecomposition of the Radon measure

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30)

Cites Work

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• Approximation of free-discontinuity problems
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• [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
• Some fine properties of sets of finite perimeter in Ahlfors regular metric measure spaces
• Rectifiability and perimeter in the Heisenberg group
• Surface measures in Carnot-Carathéodory spaces

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