Boundary Behavior of Proper Holomorphic Mappings Between Non-Pseudoconvex Domains

1984 ◽  
Vol 106 (3) ◽  
pp. 639 ◽  
Author(s):  
Steven R. Bell
Keyword(s):  
Boundary Behavior ◽  
Holomorphic Mappings ◽  
Pseudoconvex Domains ◽  
Proper Holomorphic Mappings

scholarly journals On proper holomorphic mappings from domains with T-action

1999 ◽  
Vol 154 ◽  
pp. 57-72 ◽  
Author(s):  
Bernard Coupet ◽  
Yifei Pan ◽  
Alexandre Sukhov
Keyword(s):  
Unit Circle ◽  
Finite Type ◽  
Holomorphic Mapping ◽  
Circular Domain ◽  
Holomorphic Mappings ◽  
Pseudoconvex Domains ◽  
Branch Locus ◽  
Proper Holomorphic Mapping ◽  
Proper Holomorphic Mappings

AbstractWe describe the branch locus of a proper holomorphic mapping between two smoothly bounded pseudoconvex domains of finite type in under the assumption that the first domain admits a transversal holomorphic action of the unit circle. As an application we show that any proper holomorphic self-mapping of a smoothly bounded pseudoconvex complete circular domain of finite type in is biholomorphic.

scholarly journals Boundary behavior of proper holomorphic mappings.

1983 ◽  
Vol 30 (1) ◽  
pp. 107-111 ◽  
Author(s):  
E. Bedford ◽  
S. Bell ◽  
D. Catlin
Keyword(s):  
Boundary Behavior ◽  
Holomorphic Mappings ◽  
Proper Holomorphic Mappings
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