Regularity of CR-mappings between Fuchsian type hypersurfaces in $\mathbb{C}^2$.
Regularity of CR-mappings between Fuchsian type hypersurfaces in $\mathbb{C}^2$.
复制标题
$mathbb{C}^2$ 中 Fuchsian 型超曲面之间 CR 映射的规律性。
DOI：
10.1007/s40627-020-00051-y
复制
发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Lamel, B.
中科院分区：
文献类型：
--
作者：
Ebenfelt, P.;Kossovskiy, I.;Lamel, B.
研究了中实解析无穷型超曲面间cr -映射的正则性。我们证明，在fuchsian类型条件下，它们之间的所有（分别是形式的或光滑的）cr -微分同态是自动解析的。在某种意义上，Fuchsian条件似乎是正则性问题的最优解。
We investigate regularity of CR-mappings between real-analytic infinite type hypersurfaces in. We show that, under theFuchsian typecondition, all (respectively formal or smooth) CR-diffeomorphisms between them are automatically analytic. The Fuchsian condition appears to be in a certain sense optimal for the regularity problem.