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.

 

Normal families of quasimeromorphic mappings
HTML articles powered by AMS MathViewer

by Ruth Miniowitz PDF
Proc. Amer. Math. Soc. 84 (1982), 35-43 Request permission

Abstract:

We obtain several sufficient conditions for a family of quasiregular or quasimeromorphic mappings to be normal, which are generalizations to known results for analytic functions.
References
  • O. Martio, S. Rickman, and J. Väisälä, Definitions for quasiregular mappings, Ann. Acad. Sci. Fenn. Ser. A I No. 448 (1969), 40. MR 0259114
  • O. Martio, S. Rickman, and J. Väisälä, Distortion and singularities of quasiregular mappings, Ann. Acad. Sci. Fenn. Ser. A I No. 465 (1970), 13. MR 0267093
  • O. Martio, S. Rickman, and J. Väisälä, Topological and metric properties of quasiregular mappings, Ann. Acad. Sci. Fenn. Ser. A. I. 488 (1971), 31. MR 299782
  • Seppo Rickman, On the number of omitted values of entire quasiregular mappings, J. Analyse Math. 37 (1980), 100–117. MR 583633, DOI 10.1007/BF02797681
  • Jukka Sarvas, Coefficient of injectivity for quasiregular mappings, Duke Math. J. 43 (1976), no. 1, 147–158. MR 407277
  • S. Saks and A. Zygmund, Analytic functions, 3rd ed., Elsevier, New York, 1971.
  • Jussi Väisälä, On normal quasiconformal functions, Ann. Acad. Sci. Fenn. Ser. A. I. 266 (1959), 33. MR 105505
  • —, Lectures on $n$-dimensional quasiconformal mappings, Lecture Notes in Math., vol. 229, Springer-Verlag, New York, 1971.
  • Lawrence Zalcman, A heuristic principle in complex function theory, Amer. Math. Monthly 82 (1975), no. 8, 813–817. MR 379852, DOI 10.2307/2319796
  • V. A. Zorič, A theorem of M. A. Lavrentiev for space quasiconformal mappings, Math. USSR Sb. 74 (116) (1967), 417-433.
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 30D45
  • Retrieve articles in all journals with MSC: 30D45
Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 84 (1982), 35-43
  • MSC: Primary 30D45
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0633273-X
  • MathSciNet review: 633273