Katrin FAESSLER

Proposition
The stretch map fk, 0 < k < 1 is a QC map of H 1 with distortion
K((ξ, ψ, η), fk) = 1 + tan2 ψ
k 2 + tan 2 ψ
Let F be the class of QC maps
1
and Kfk = .
k2 g : A(a, b) := {p ∈ H 1 : a < pH < b} → A(a k , b k )
which map the inner and outer boundary components of A(a, b)
homeomorphically to the respective boundary components of A(a k , b k ).
Katrin Fässler (University of Helsinki) A stretch map on H 1
HCAA 2012 14 / 23