On on the complement of curves

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• 作者：J.M. Enrí ; quez-Salamanca^a ; ^{enrique.desalamanca@uca.es" class="auth_mail} ; M.J. Gonzá ; lez^b ; ¹ ; ^{majose.gonzalez@uca.es" class="auth_mail}
• 关键词：Cauchy integral ; Quasiconformal mapping ; Carleson measures ; Smooth curves
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：1 August, 2014
• 年：2014
• 卷：416
• 期：1
• 页码：335-343
• 全文大小：280 K

文摘

Let 蟻 be a quasiconformal mapping on the plane with complex dilatation 渭. We show that if 渭 satisfies a certain Carleson measure condition, then one can transfer on the upper half plane onto the corresponding space in the complement of the quasicircle , and that this condition on 渭 characterizes curves.