A new rigidity result for holomorphic maps

Indagationes Mathematicae

Volumn 13, Issue 4, 2002, Pages 537-549

  Migliorini, Serena ^a   Vlacci, Fabio ^a  

^a UNIVERSITY OF FLORENCE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037970073     PISSN: 00193577     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0019-3577(02)80032-5     Document Type: Article

References (12)

1. Abate, M. - Iteration theory of holomorphic mappings on taut manifolds. Mediterranean Press, Rende (1989).
2. Ahlfors, L. - Complex analysis. McGraw-Hill, New York (1979).
3. Alexander, H. - A weak Hopf lemma for holomorphic mappings, Indag. Mathem. N. S. 6, 1-5 (1995).
4. Alexander, H. - Boundary behavior of certain holomorphic maps. Michigan Math. J. 38, 117-128 (1991).
5. Alinhac, S., M.S. Baouendi and L. Rothschild - Unique continuation and regularity at the boundary for holomorphic functions. Duke Math. J. 61, 635-653 (1990).
6. ∞ Schwarz reflection principle in one and several variables. J. of Differential Geometry 33, 889-915 (1990).
7. Burns, D.M. and S.G. Krantz - Rigidity of holomorphic mappings and a new Schwarz lemma at the boundary. J. Amer. Math. Soc. 7, 661-676 (1994).
8. Huang, X. - A boundary rigidity problem for holomorphic mappings on some weakly pseu- doconvex domains. Can. J. Math. 47 (2), 405-420 (1995).
9. Huang, X. and S.G. Krantz - A unique continuation problem for holomorphic mappings. J. of Partial Differential Equations 18, 241-263 (1993).
10. Garnett, J.B. - Bounded analytic functions. Academic Press, New York (1981).
11. Pommerenke, Ch. - Boundary behaviour of conformal Maps. Springer-Verlag, Berlin Heidelberg (1992).
12. Tauraso, R. and F. Vlacci - Rigidity at the boundary for self-maps of the unit disc. Complex Variables: theory and applications 45 (2), 151-165 (2001).