free analytic boundary arc


Let G be a region and let γ be a connectedPlanetmathPlanetmath subset of G (boundary of G), then γ is a free analytic boundary arc of G if for every point ζγ there is a neighbourhood U of ζ and a conformal equivalence h:𝔻U (where 𝔻 is the unit discPlanetmathPlanetmath) such that h(0)=ζ, h(-1,1)=γU and h(𝔻+)=GU (where 𝔻+ is all the points in the unit disc with non-negative imaginary part).


  • 1 John B. Conway. . Springer-Verlag, New York, New York, 1995.
Title free analytic boundary arc
Canonical name FreeAnalyticBoundaryArc
Date of creation 2013-03-22 14:18:00
Last modified on 2013-03-22 14:18:00
Owner jirka (4157)
Last modified by jirka (4157)
Numerical id 7
Author jirka (4157)
Entry type Definition
Classification msc 30-00
Classification msc 54-00
Related topic AnalyticCurve