Dilatations and Exponents of Quasisymmetric Homeomorphisms

Abstract

Given a quasisymmetric homeomorphism, we introduce the concept of quasisymmetric exponent and explore its relations with other conformal invariants. As a consequence, we establish a necessary and sufficient condition on the equivalence of the dilatation and the maximal dilatation of a quasisymmetric homeomorphism by using the quasisymmetric exponent. A… (More)

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