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Uniformly bounded maximal |
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| Authors: | I Anic V Markovic M Mateljevic |
| Institution: | Faculty of Mathematics, University of Belgrade, Studentski Trg 16, Belgrade, Yugoslavia ; School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455 ; Faculty of Mathematics, University of Belgrade, Studentski Trg 16, Belgrade, Yugoslavia |
| Abstract: | We characterize Bers space by means of maximal |
| Keywords: | Quadratic differentials Bers space quasiregular harmonic maps negatively curved metrics |
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-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.