Universal Teichmuller space and BMO

作者：Shen Yuliang^*; Wei Huaying

来源：Advances in Mathematics, 2013, 234: 129-148.

DOI：10.1016/j.aim.2012.10.017

• Universal Teichmuller space
• BMOA
• VMOA
• Carleson measure

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' is an element of VMO. We then show that these BMO-Teichmuller spaces have natural complex structures.

• 出版日期2013-2-15
• 单位苏州大学