The Universal Teichmüller Space and Function Space
Keyword(s):
In this paper, a subspace TF02,1−s,s of the universal Teichmüller space, which is related to the analytic function space F02,1−s,s, is introduced and the holomorphy of the Bers map is shown. It is also proved that the pre-Bers map is holomorphic and the prelogarithmic derivative model T˜F02,1−s,s of TF02,1−s,s is a disconnected subset of the function space F02,1−s,s. Moreover, several equivalent descriptions of elements of TF02,1−s,s are obtained and the holomorphy of higher Bers maps is proved.
2005 ◽
Vol 26
(04)
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pp. 537-542
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1995 ◽
Vol 42
(2)
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pp. 368-410
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2002 ◽
pp. 457-492
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2016 ◽
Vol 59
(4)
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pp. 1065-1074
1995 ◽
Vol 15
(3)
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pp. 227-251
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