Besov Functions and Tangent Space to the Integrable Teichmüller Space

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.

Keywords

Universal Teichmüller space / Integrable Teichmüller space / Zygmund function / Quasiconformal deformation / Besov function

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