Universal Teichmüller space and BMO

By Yu-liang Shen, Huaying Wei. 2013

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Abstract We first give some new characterizations on BMOA–Teichmuller space and various characterizations on VMOA–Teichmuller space as well. In particular, we prove that a quasisymmetric conformal welding h corresponds to an asymptotically smooth curve in the sense of Pommerenke (1978)  [32] precisely when h is absolutely continuous with log h ′ ∈ VMO . We then show that these BMO–Teichmuller spaces have natural complex structures.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/354b5f57118d5258e4b59f47cc6ee098bd7f5062