Quasiconformal properties of Q_p,0 curves and Dirichlet-type curves

2022/07/11 by González, María J.
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2207.04752

Abstract

Let Γ be a closed Jordan curve, and f the conformal mapping that sends the unit disc \mathbbD onto the interior domain of Γ. If log f' belongs to the Dirichlet space D, we call Γ a Weil-Petersson curve. The purpose of this note is to extend recent results, obtained by G. Cui and Ch. Bishop in the case of Weil-Petersson curves, to the case when log f' belongs to either some Q_p,0, space, for 0

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