منابع مشابه
Quasiconformal Maps and Substantial Boundary Points
Let D be a bounded domain in C with ζ0 ∈ ∂D. We say that ζ0 is a substantial boundary point of D for the affine stretch x+ iy 7→ Kx+ iy, where K > 1, if for every neighbourhood U of ζ0 and for every component V of U ∩ D with ζ0 ∈ ∂V , the maximal dilatation of f is at least K for every quasiconformal map f of V such that f(x+ iy) = Kx+ iy for all x+ iy ∈ ∂V ∩ ∂D. We give here a criterion for a ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2016
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2016.04.025