Smoothness of Cauchy Riemann maps for a class of real hypersurfaces.

Gaussier, Hervé. "Smoothness of Cauchy Riemann maps for a class of real hypersurfaces.." Publicacions Matemàtiques 45.1 (2001): 79-94. <http://eudml.org/doc/41415>.

@article{Gaussier2001,
abstract = {We study the regularity problem for Cauchy Riemann maps between hypersurfaces in Cn. We prove that a continuous Cauchy Riemann map between two smooth C∞ pseudoconvex decoupled hypersurfaces of finite D'Angelo type is of class C∞.},
author = {Gaussier, Hervé},
journal = {Publicacions Matemàtiques},
keywords = {Funciones de variable compleja; Funciones holomorfas de varias variables; Hipersuperficies; Dominios pseudoconvexos; regularity of CR maps},
language = {eng},
number = {1},
pages = {79-94},
title = {Smoothness of Cauchy Riemann maps for a class of real hypersurfaces.},
url = {http://eudml.org/doc/41415},
volume = {45},
year = {2001},
}

TY - JOUR
AU - Gaussier, Hervé
TI - Smoothness of Cauchy Riemann maps for a class of real hypersurfaces.
JO - Publicacions Matemàtiques
PY - 2001
VL - 45
IS - 1
SP - 79
EP - 94
AB - We study the regularity problem for Cauchy Riemann maps between hypersurfaces in Cn. We prove that a continuous Cauchy Riemann map between two smooth C∞ pseudoconvex decoupled hypersurfaces of finite D'Angelo type is of class C∞.
LA - eng
KW - Funciones de variable compleja; Funciones holomorfas de varias variables; Hipersuperficies; Dominios pseudoconvexos; regularity of CR maps
UR - http://eudml.org/doc/41415
ER -