Quadrilaterals and extremal quasiconformal extensions.
Quasicircles modulo bilipschitz maps.
We give an explicit construction of all quasicircles, modulo bilipschitz maps. More precisely, we construct a class S of planar Jordan curves, using a process similar to the construction of the van Koch snowflake curve. These snowflake-like curves are easily seen to be quasicircles. We prove that for every quasicircle Γ there is a bilipschitz homeomorphism f of the plane and a snowflake-like curve S ∈ S with Γ = f(S). In the same fashion we obtain a construction of all bilipschitz-homogeneous Jordan...
Quasiconformal Analogues of a Theorem of Smirnov.
Quasiconformal and harmonic mappings between smooth Jordan domains.
Quasiconformal circles and Lipschitz classes.
Quasiconformal Concordance.
Quasiconformal deformations of holomorphic functions.
Quasiconformal extensions for some geometric subclasses of univalent functions.
Quasiconformal extensions of some special univalent functions
Quasiconformal groups acting on that are not quasiconformally conjugate to Möbius groups.
Quasiconformal Harmonic Functions Between Convex Domains
Quasiconformal homeomorphisms between Riemann surfaces
Quasiconformal mappings and exponentially integrable functions
We prove that a K-quasiconformal mapping f:ℝ² → ℝ² which maps the unit disk onto itself preserves the space EXP() of exponentially integrable functions over , in the sense that u ∈ EXP() if and only if . Moreover, if f is assumed to be conformal outside the unit disk and principal, we provide the estimate for every u ∈ EXP(). Similarly, we consider the distance from in EXP and we prove that if f: Ω → Ω’ is a K-quasiconformal mapping and G ⊂ ⊂ Ω, then for every u ∈ EXP(). We also prove that...
Quasiconformal mappings on the Heisenberg group.
Quasiconformal mappings preserving interpolating sequences.
Quasiconformality of pseudo-conformal transformations and deformations of hypersurfaces in C...
Quasihyperbolic geodesics in John domains.
Quasiregular mappings and metrics on the n-sphere with punctures.
Quasiregular mappings of maximal local modulus of continuity.
Quasisymmetrically thick sets.