Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Holomorphic mappings between balls and polydiscs
HTML articles powered by AMS MathViewer

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.
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 32A07
  • Retrieve articles in all journals with MSC: 32A07
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