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| Besov Functions and Tangent Space to the Integrable Teichm\"uller Space |
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Citation： |
Shu'an TANG,Xiaogao FENG,Yuliang SHEN.Besov Functions and Tangent Space to the Integrable Teichm\"uller Space[J].Chinese Annals of Mathematics B,2018,39(6):963~972 |
| Page view： 690
Net amount： 1398 |
Authors： |
Shu'an TANG; Xiaogao FENG;Yuliang SHEN |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.11371268, 11171080, 11601100, 11701459),
the Jiangsu Provincial Natural Science Foundation of China
(No.BK201 41189) and the Ph.D Research Startup Foundation of
Guizhou Normal University (No.11904-05032130006). |
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| Abstract： |
The authors identify the function space which is the tangent space
to the integrable {Teichm\"uller} space. By means of quasiconformal
deformation and an operator induced by a Zygmund function, several
characterizations of this function space are obtained. |
Keywords： |
Universal Teichm"uller space, Integrable Teichm"uller space,Zygmund function, Quasiconformal deformation, Besov function |
Classification： |
30C62, 30F60, 32G15, 30H25 |
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