Abstract
We give a new proof for the C∞ regularity of C2 smooth conformal mappings of the sub-Riemannian Heisenberg group. Our proof avoids any use of nonlinear potential theory and relies only on hypoellipticity of Hörmander operators and quasiconformal flows. This approach is inspired by prior work of Sarvas and Liu.
Original language | English (US) |
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Pages (from-to) | 217-228 |
Number of pages | 12 |
Journal | Colloquium Mathematicum |
Volume | 150 |
Issue number | 2 |
DOIs | |
State | Published - 2017 |
Keywords
- Conformal mapping
- Heisenberg group
- Korányi–Reimann flow
ASJC Scopus subject areas
- General Mathematics