Some new results on domains in complex space with non-compact automorphism group
SCIE
SCOPUS
- Title
- Some new results on domains in complex space with non-compact automorphism group
- Authors
- Kim, KT; Krantz, SG
- Date Issued
- 2003-05-15
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Abstract
- We provide a new proof of the Wong-Rosay theorem, using the structure of the ring of holomorphic functions. As a byproduct, we provide an analogous theorem for classical bounded symmetric domains. The second main result of this article concerns a new existence theorem for holomorphic peaking functions at a hyperbolic orbit accumulation boundary point. Finally, we give a proof of a version of the Greene-Krantz conjecture using holomorphic vector fields and a strengthened Hopf lemma. (C) 2003 Published by Elsevier Science (USA).
- Keywords
- BIHOLOMORPHIC-MAPPINGS; PSEUDOCONVEX DOMAINS; BOUNDARY
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29769
- DOI
- 10.1016/S0022-247X(0
- ISSN
- 0022-247X
- Article Type
- Article
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol. 281, no. 2, page. 417 - 424, 2003-05-15
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