Lipschitz extensions of maps between Heisenberg groups

Author:

Balogh Zoltán M.,Lang Urs,Pansu Pierre

Publisher

Cellule MathDoc/CEDRAM

Subject

Geometry and Topology,Algebra and Number Theory

Reference16 articles.

1. [1] Ambrosio, L.; Rigot, S. Optimal mass transportation in the Heisenberg group, J. Funct. Anal., Volume 208 (2004) no. 2, pp. 261-301

2. [2] Balogh, Zoltán M.; Fässler, Katrin S. Rectifiability and Lipschitz extensions into the Heisenberg group, Math. Z., Volume 263 (2009) no. 3, pp. 673-683

3. [3] Capogna, Luca; Danielli, Donatella; Pauls, Scott D.; Tyson, Jeremy T. An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem, Birkhäuser Verlag, Basel, Progress in Mathematics, Volume 259 (2007), xvi+223 pages

4. [4] Fonseca, Irene; Gangbo, Wilfrid Degree theory in analysis and applications, The Clarendon Press, Oxford University Press, New York, Oxford Lecture Series in Mathematics and its Applications, Volume 2 (1995), viii+211 pages (Oxford Science Publications)

5. [5] Kirszbraun, M. D. Über die zusammenziehende und Lipschitzsche Transformationen., Fundam. Math., Volume 22 (1934), pp. 77-108

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Impossibility of almost extension;Advances in Mathematics;2021-06

2. Extension Results for Lipschitz Mappings;Lecture Notes in Mathematics;2019

3. Pliability, or the Whitney extension theorem for curves in Carnot groups;Analysis & PDE;2017-08-01

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