Holomorphic mappings between balls and polydiscs
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- by R. R. Simha PDF
- Proc. Amer. Math. Soc. 54 (1976), 241-242 Request permission
Abstract:
A proof based only on Schwarz’s lemma is given for the fact that the polydisc and the ball are not holomorphically equivalent.References
- H. Alexander, Holomorphic mappings from the ball and polydisc, Math. Ann. 209 (1974), 249–256. MR 352531, DOI 10.1007/BF01351851
- C. Carathéodory, Über die Abbildungen, die durch Systeme von analytischen Funktionen von mehreren Veränderlichen erzeugt werden, Math. Z. 34 (1932), no. 1, 758–792 (German). MR 1545283, DOI 10.1007/BF01180619 F. Riesz and B. Sz.-Nagy, Leçons d’analyse fonctionnelle, 4th ed., Gauthier-Villars, Paris, 1965; English transl. of 2nd ed., Ungar, 1955. MR 17, 175; 31 #3815.
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 54 (1976), 241-242
- MSC: Primary 32A07
- DOI: https://doi.org/10.1090/S0002-9939-1976-0402100-5
- MathSciNet review: 0402100