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Besov Functions and Tangent Space to the Integrable Teichmüller Space

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Abstract

The authors identify the function space which is the tangent space to the integrable Teichmüller space. By means of quasiconformal deformation and an operator induced by a Zygmund function, several characterizations of this function space are obtained.

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Acknowledgement

The authors express their gratitude to the referee for useful advice.

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Authors and Affiliations

  1. Department of Mathematics, Soochow University, Suzhou, 215006, Jiangsu, China

    Shu’an Tang, Xiaogao Feng & Yuliang Shen

  2. College of Mathmatics and Information, China West Normal University, Nanchong, 637002, Sichuan, China

    Xiaogao Feng

  3. Department of Mathematics, Guizhou Normal University, Guiyang, 550001, China

    Shu’an Tang

Authors
  1. Shu’an Tang
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  2. Xiaogao Feng
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  3. Yuliang Shen
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Corresponding author

Correspondence to Xiaogao Feng.

Additional information

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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Tang, S., Feng, X. & Shen, Y. Besov Functions and Tangent Space to the Integrable Teichmüller Space. Chin. Ann. Math. Ser. B 39, 963–972 (2018). https://doi.org/10.1007/s11401-018-0107-3

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  • DOI: https://doi.org/10.1007/s11401-018-0107-3

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