Abstract
Let QS*(S 1) be the space of quasisymmetric homeomorphisms of the unit circle such that the corresponding subspace of the universal Teichmüller space has Weil-Petersson metric. In this paper we give a necessary condition for a quasisymmetric homeomorphism to belong to QS*(S 1) from the aspect of cross-ratio distortion.
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Wu, C. The cross-ratio distortion of integrably asymptotic affine homeomorphism of unit circle. Sci. China Math. 55, 625–632 (2012). https://doi.org/10.1007/s11425-011-4322-6
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DOI: https://doi.org/10.1007/s11425-011-4322-6