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Normal families of BMOloc-quasiregular mappings
Author:
Victoria Stanciu ab
| Affiliations: | a Mathematical Department, University “Politehnica” of Bucharest, Bucharest, Romania |
| b Communicated by H. Begehr, |
DOI:
10.1080/02781070410001701056
Publication Frequency:
12 issues per year
Published in:
Complex Variables and Elliptic Equations,
Volume
49,
Issue
10
August
2004
, pages 681
- 688
Complex Variables and Elliptic Equations,
Volume
49,
Issue
10
August
2004
, pages 681
- 688
Subjects:
Analysis - Mathematics;
Complex Variables;
Computational Numerical Analysis;
Functional Analysis;
Mathematical Analysis;
Theory of Numbers;
Number of References: 8
Formats available:
HTML
(English)
:
PDF
(English)
Previously published as:
Complex Variables, Theory and Application: An International Journal
(0278-1077,
1563-5066)
until 2006
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Abstract
Given a function Q(z) of locally bounded mean oscillation in a Riemann surface X, we prove a normality criterion for a family of Q(z)-quasiregular mappings between two homeomorphic Riemann surfaces X, Y, normalized by the condition that the preimages of two given points be two fixed points. Several examples and counter-examples are included.
|
| Keywords: BMO loc; qr; qc; Riemann surface; 2000 AMS Subject Classification: 30C62 |
| view references (8) |
|
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