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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:
Bloch's Theorem is extended to -quasiregular maps , where is the standard -dimensional sphere. An example shows that Bloch's constant actually depends on for .
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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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