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Uniformly bounded maximal  -disks, Bers space and harmonic maps
Author(s):
I.
Anic;
V.
Markovic;
M.
Mateljevic
Journal:
Proc. Amer. Math. Soc.
128
(2000),
2947-2956.
MSC (1991):
Primary 30F30;
Secondary 32G15, 58E20
Posted:
April 7, 2000
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Abstract:
We characterize Bers space by means of maximal  -disks. As an application we show that the Hopf differential of a quasiregular harmonic map with respect to strongly negatively curved metric belongs to Bers space. Also we give further sufficient or necessary conditions for a holomorphic function to belong to Bers space.
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Additional Information:
I.
Anic
Affiliation:
Faculty of Mathematics, University of Belgrade, Studentski Trg 16, Belgrade, Yugoslavia
Email:
ianic@matf.bg.ac.yu
V.
Markovic
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
Email:
markovic@math.umn.edu
M.
Mateljevic
Affiliation:
Faculty of Mathematics, University of Belgrade, Studentski Trg 16, Belgrade, Yugoslavia
Email:
miodrag@matf.bg.ac.yu
DOI:
10.1090/S0002-9939-00-05325-9
PII:
S 0002-9939(00)05325-9
Keywords:
Quadratic differentials,
Bers space,
quasiregular harmonic maps,
negatively curved metrics
Received by editor(s):
April 20, 1998
Received by editor(s) in revised form:
August 27, 1998 and November 18, 1998
Posted:
April 7, 2000
Communicated by:
Albert Baernstein II
Copyright of article:
Copyright
2000,
American Mathematical Society
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