Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


On the topological extension to the boundary of biholomorphic maps in $ C\sp{n}$

Author: R. Michael Range
Journal: Trans. Amer. Math. Soc. 216 (1976), 203-216
MSC: Primary 32H99
MathSciNet review: 0387665
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ F:{D_1} \to {D_2}$ be a biholomorphic map between bounded domains in $ {{\mathbf{C}}^n}$ with piecewise smooth strictly pseudoconvex boundaries. It is shown that F is Hölder continuous of some positive order, and hence F extends to a homeomorphism of the closures of the domains. This generalizes recent results of G. M. Henkin and N. Vormoor for domains with smooth strictly pseudoconvex boundary.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 32H99

Retrieve articles in all journals with MSC: 32H99

Additional Information

PII: S 0002-9947(1976)0387665-9
Article copyright: © Copyright 1976 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia