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.

引用

页码：217 / 228

页数：12

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