Asymptotic conformality of the barycentric extension of quasiconformal maps
Keyword(s):
We first remark that the complex dilatation of a quasiconformal homeomorphism of a hyperbolic Riemann surface R obtained by the barycentric extension due to Douady-Earle vanishes at any cusp of R. Then we give a new proof, without using the Bers embedding, of a fact that the quasiconformal homeomorphism obtained by the barycentric extension from an integrable Beltrami coefficient on R is asymptotically conformal if R satisfies a certain geometric condition.
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1963 ◽
Vol 22
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pp. 211-217
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2020 ◽
Vol 2020
(764)
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pp. 287-304
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2008 ◽
Vol 144
(6)
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pp. 1593-1616
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1974 ◽
Vol 53
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pp. 141-155
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2020 ◽
Vol 29
(4)
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pp. 795-804
2019 ◽
Vol 53
(3)
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pp. 205-219
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2018 ◽
Vol 2020
(23)
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pp. 9539-9558