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Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Bloch radius, normal families and quasiregular mappings

Author(s): Alexandre Eremenko
Journal: Proc. Amer. Math. Soc. 128 (2000), 557-560.
MSC (1991): Primary 30C65, 30D45
Posted: July 8, 1999
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Abstract | References | Similar articles | Additional information

Abstract: Bloch's Theorem is extended to $K$-quasiregular maps $\mathbf{R}^n \to\mathbf{S}^n$, where $\mathbf{S}^n$ is the standard $n$-dimensional sphere. An example shows that Bloch's constant actually depends on $K$ for $n\geq 3$.


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Additional Information:

Alexandre Eremenko
Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Email: eremenko@math.purdue.edu

DOI: 10.1090/S0002-9939-99-05141-2
PII: S 0002-9939(99)05141-2
Received by editor(s): March 16, 1998
Received by editor(s) in revised form: April 8, 1998
Posted: July 8, 1999
Additional Notes: The author was supported by NSF grant DMS-9800084.
Communicated by: Albert Baernstein II
Copyright of article: Copyright 1999, American Mathematical Society


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