On H∞ on the complement of C1+α curves

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:416

Article

Enriquez-Salamanca, J. M.¹  Gonzalez, M. J.² 

[1] Univ Cadiz, Dept Math, Cadiz 11002, Spain

[2] Univ Cadiz, Dept Math, Puerto Real 11510, Spain

关键词: Cauchy integral;    Quasiconformal mapping;    Carleson measures;    Smooth curves;   

DOI  :  10.1016/j.jmaa.2014.02.019

来源: Elsevier

【 摘 要 】

Let rho be a quasiconformal mapping on the plane with complex dilatation mu. We show that if mu satisfies a certain Carleson measure condition, then one can transfer H-infinity on the upper half plane onto the corresponding space in the complement of the quasicircle Gamma = rho(R)), and that this condition on mu characterizes C1+alpha curves. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free