Semicontinuity of the Automorphism Groups of Domains with Rough Boundary
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-07
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Based on some ideas of Greene and Krantz, we study the semicontinuity of automorphism groups of domains in one and several complex variables.
We show that semicontinuity fails for domains in ℂn, n>1, with Lipschitz boundary, but it holds for domains in ℂ1 with Lipschitz boundary.
Using the same ideas, we develop some other concepts related to mappings of Lipschitz domains.
These include Bergman curvature, stability properties for the Bergman kernel, and also some ideas about equivariant embeddings.
American Psychological Association (APA)
Krantz, Steven G.. 2012. Semicontinuity of the Automorphism Groups of Domains with Rough Boundary. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-509367
Modern Language Association (MLA)
Krantz, Steven G.. Semicontinuity of the Automorphism Groups of Domains with Rough Boundary. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-7.
https://search.emarefa.net/detail/BIM-509367
American Medical Association (AMA)
Krantz, Steven G.. Semicontinuity of the Automorphism Groups of Domains with Rough Boundary. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-509367
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509367