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Complex analytic structure on the p-integrable Teichmüller space p

Masahiro YANAGISHITA

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[1] L. V. Ahlfors, Curvature properties of Teichmüller space, J. d Analyse Math., 9 (1961), 161-176.

[2] G. Cui, Integrably asymptotic affine homeomorphisms of the circle and Teichmüller spaces, Sci. China Ser. A 43 (2000), 267-279.

[3] C. J. Earle, F. P. Gardiner and N. Lakic, Asymptotic Teichmüller space, Part II:

The metric structure, Contemp. Math.

355 (2004), 187-219.

[4] F. P. Gardiner, Approximation of

infinite dimensional Teichmüller spaces, Trans. Amer. Math. Soc. 282 (1984), 367-383.

[5] J. Hu, Y. Jiang and Z. Wang, Kobayashi s and Teichmüller s metrics on the Teichmüller space of symmetric circle homeomorphisms, Acta Math. Sinica, English Series 27

(2011), 617-624.

[6] L. A. Takhtajan and L.-P. Teo,

Weil-Petersson metric on the universal Teichmüller space, Memoirs of the Amer.

Math. Soc. 861, Amer. Math. Soc., 2006.

[7] S. Tang, Some characterizations of the integrable Teichmüller space, Sci. China Math. 56 (2013), 541-551.

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[1] M. Yanagishita, Teichmüller distance and Kobayashi distance on subspaces of the universal Teichmüller space, Kodai Mathematical Journal 36 (June 2013), 209-227.

[2] M.Yanagishita, A sufficient condition for rigidity in extremality of Teichmüller equivalence classes by Schwarzian derivative, Analysis in Theory and Applications 30 (2014), 130-135.

[3] M. Yanagishita, On a relation between the universal Teichmüller space and the Grunsky operator, Acta Mathematica Sinica (English Series) 30 (April 2014), 591-600.

[4] M. Yanagishita, Introduction of a complex structure on the p-integrable Teichmüller space, Annales Academiæ Scientiarum Fennicæ, 39 (2014), 947-971.

ø ÷

[1] M. Yanagishita, p-integrable Teichmüller space, The 21st International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, Nanjing University (Nanjing, China), June 2013.

[2] M. Yanagishita, Weil-Petersson metric on square integrable Teichmüller spaces, The 22nd International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, Dongguk University (Gyeongju, Korea), August 2014.

ø ÷

M. Yanagishita, p-integrable Teichmüller space, The Asian Mathematical Conference 2013, BEXCO (Busan, Korea), June 2013.

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