Uniformly bounded maximal 𝜑-disks, Bers space and harmonic maps

Anić, I.; Marković, V.; Mateljević, M.

doi:10.1090/S0002-9939-00-05325-9

Uniformly bounded maximal $\varphi$-disks, Bers space and harmonic maps
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by I. Anić, V. Marković and M. Mateljević

Proc. Amer. Math. Soc. 128 (2000), 2947-2956

DOI: https://doi.org/10.1090/S0002-9939-00-05325-9

Published electronically: April 7, 2000

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Abstract:

We characterize Bers space by means of maximal $\varphi$-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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