A $$C^{m,\omega }$$ Whitney Extension Theorem for Horizontal Curves in the Heisenberg Group

Author:

Speight Gareth,Zimmerman ScottORCID

Funder

Simons Foundation

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference32 articles.

1. Bierstone, E.: Differentiable functions. Bol. Soc. Bras. Mat. 11(2), 139–190 (1980)

2. Bonfiglioli, A., Lanconelli, E., Uguzzoni, F.: Stratified Lie Groups and Potential Theory for their Sub-Laplacians. Springer Monographs in Mathematics. Springer, Berlin (2007)

3. Capogna, L., Danielli, D., Pauls, S., Tyson, J.: An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem, Birkhauser, Progress in Mathematics, vol. 259. Springer, Berlin (2007)

4. Capolli, M., Pinamonti, A., Speight, G.: A $$C^m$$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group. Calc. Var. Partial Differ. Equ. 60, 49 (2021)

5. Capolli, M., Pinamonti, A., Speight, G.: A $$C^k$$ Lusin Approximation Theorem for Real-Valued Functions on Carnot Groups, to appear in Indiana University Mathematics Journal. arXiv:2107.12814

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