Bloch radius, normal families and quasiregular mappings
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- by Alexandre Eremenko PDF
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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 $n\geq 3$.References
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Additional Information
- Alexandre Eremenko
- Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
- MR Author ID: 63860
- Email: eremenko@math.purdue.edu
- Received by editor(s): March 16, 1998
- Received by editor(s) in revised form: April 8, 1998
- Published electronically: July 8, 1999
- Additional Notes: The author was supported by NSF grant DMS-9800084.
- Communicated by: Albert Baernstein II
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 557-560
- MSC (1991): Primary 30C65, 30D45
- DOI: https://doi.org/10.1090/S0002-9939-99-05141-2
- MathSciNet review: 1641689