A note on the BMO-Teichmuller space

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:435

Article

Wei, Huaying¹ 

[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China

关键词: Quasisymmetric homeomorphism;    Strongly quasisymmetric homeomorphism;    Strongly symmetric homeomorphism;    BMO norm;   

DOI  :  10.1016/j.jmaa.2015.10.059

来源: Elsevier

【 摘 要 】

Astala-Zinsmeister [2] introduced a new topology on the set of all strongly quasisymmetric homeomorphisms of the unit circle denoted by SQS(S-1) by means of BMO norm. Tinder this new topology, we prove that SQS (S-1) is a partial topological group, and the characteristic topological subgroup of SQS(S-1) consists of strongly symmetric homeomorphisms. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

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