Article ID Journal Published Year Pages File Type
4614618 Journal of Mathematical Analysis and Applications 2016 8 Pages PDF
Abstract

Astala–Zinsmeister [2] introduced a new topology on the set of all strongly quasisymmetric homeomorphisms of the unit circle denoted by SQS(S1)SQS(S1) by means of BMO norm. Under this new topology, we prove that SQS(S1)SQS(S1) is a partial topological group, and the characteristic topological subgroup of SQS(S1)SQS(S1) consists of strongly symmetric homeomorphisms.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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