A NEW PROOF OF THE C∞ REGULARITY OF C2 CONFORMAL MAPPINGS ON THE HEISENBERG GROUP

被引：6
|
作者：
Austin, Alex D. [1 ]
Tyson, Jeremy T. [2 ]
机构：
[1] Univ Calif Los Angeles, Dept Math, Box 951555, Los Angeles, CA 90095 USA
[2] Univ Illinois, Dept Math, 1409 West Green St, Urbana, IL 61801 USA
来源：
COLLOQUIUM MATHEMATICUM | 2017年 / 150卷 / 02期
基金：
美国国家科学基金会;
关键词：
Heisenberg group; conformal mapping; Koranyi-Reimann flow; CARNOT GROUPS; EQUATIONS;
D O I：
10.4064/cm7193-3-2017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a new proof for the C-infinity regularity of C-2 smooth conformal mappings of the sub-Riemannian Heisenberg group. Our proof avoids any use of nonlinear potential theory and relies only on hypoellipticity of Hormander operators and quasicon-formal flows. This approach is inspired by prior work of Sarvas and Liu.
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页码：217 / 228
页数：12
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