ON BOUNDARY RIGIDITY AND REGULARITY OF HOLOMORPHIC MAPPINGS-Reference-Cited by-同舟云学术

ON BOUNDARY RIGIDITY AND REGULARITY OF HOLOMORPHIC MAPPINGS

Published:1996-10 Issue:05 Volume:07 Page:617-643
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

COUPET BERNARD¹,PINCHUK SERGEY²,SUKHOV ALEXANDRE³

Affiliation:

1. LAPT, CNRS/ URA n° 225 CMI, Université de Provence 39, rue Joliot Curie, 13453 Marseille Cedex 13, France

2. Indiana State University, Departement of Mathematics, Bloomington, USA

3. LATP, CNRS/ URA n° 225 CMI, Université de Provence 39, rue Joliot Curie 13453 Marseille Cedex 13, France

Abstract

We prove that a continuous CR mapping between two pseudoconvex hypersurfaces of finite type in [Formula: see text] is smooth if at least one of the hypersurfaces is strictly pseudoconex.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X96000335

Cited by 19 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some aspects of holomorphic mappings: A survey;Proceedings of the Steklov Institute of Mathematics;2017-08

2. Bounds for invariant distances on pseudoconvex Levi corank one domains and applications;Annales de la Faculté des sciences de Toulouse : Mathématiques;2015-05-26

3. The automorphism groups of domains in complex space: a survey;Quaestiones Mathematicae;2013-06

4. Some regularity theorems for CR mappings;Mathematische Zeitschrift;2012-08-01

5. Holomorphic Mappings between Domains in ℂ2;Canadian Journal of Mathematics;2012-04-16