Quasiconformal properties of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si15.svg"><mml:msub><mml:mrow><mml:mi>Q</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:math> curves and Dirichlet-type curves
نویسندگان
چکیده
Let Γ be a closed Jordan curve, and f the conformal mapping that sends unit disc D onto interior domain of Γ. If logf′ belongs to Dirichlet space D, we call Weil-Petersson curve. The purpose this note is extend recent results, obtained by G. Cui Ch. Bishop in case curves, when either some Qp,0, space, for 0<p≤1, or weighted-Dirichlet contained D. More precisely, will characterize quasiconformal extensions f, describe geometric properties Γ, arise context.
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ژورنال
عنوان ژورنال: Nonlinear Analysis-theory Methods & Applications
سال: 2022
ISSN: ['1873-5215', '0362-546X']
DOI: https://doi.org/10.1016/j.na.2022.113048