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Normal families of quasimeromorphic mappings
Author:
Ruth Miniowitz
Journal:
Proc. Amer. Math. Soc. 84 (1982), 35-43
MSC:
Primary 30D45
MathSciNet review:
633273
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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.
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- [MRV2]
- -, Distortion and singularities of quasiregular mappings, Ann. Acad. Sci. Fenn. Ser. AI 465 (1970), 1-13. MR 0267093 (42:1995)
- [MRV3]
- -, Topological and metric properties of quasiregular mappings, Ann. Acad. Sci. Fenn. Ser. AI 488 (1971), 1-31. MR 0299782 (45:8830)
- [R]
- S. Rickman, On the number of omitted values of entire quasiregular mappings, J. Analyse Math. 37 (1980), 100-117. MR 583633 (81m:30030)
- [Sa]
- J. Sarvas, Coefficients of injectivity for quasiregular mappings, Duke Math. J. 43 (1976), 147-158. MR 0407277 (53:11056)
- [SZ]
- S. Saks and A. Zygmund, Analytic functions, 3rd ed., Elsevier, New York, 1971.
- [V1]
- J. Väisälä, On normal quasiconformal functions, Ann. Acad. Sci. Fenn. Ser. AI 266 (1959), 1-33. MR 0105505 (21:4245)
- [V2]
- -, Lectures on -dimensional quasiconformal mappings, Lecture Notes in Math., vol. 229, Springer-Verlag, New York, 1971.
- [Z]
- L. Zalcman, A heuristic principle in complex function theory, Amer. Math. Monthly 82 (1975), 813-817. MR 0379852 (52:757)
- [Zo]
- V. A. Zorič, A theorem of M. A. Lavrentiev for space quasiconformal mappings, Math. USSR Sb. 74 (116) (1967), 417-433.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-1982-0633273-X
PII:
S 0002-9939(1982)0633273-X
Article copyright:
© Copyright 1982 American Mathematical Society
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