Amenability, Poincaré series and quasiconformal maps.
Analytic families of quasi-conformal mappings
Angles and quasiconformal mappings on Riemannian manifolds
Approximation of the Hersch-Pfluger distortion function.
Asymptotic estimates and properties of univalent functions with quasiconformal continuation.
Asymptotically conformal classes and non-Strebel points
Let T(Δ) be the universal Teichmüller space on the unit disk Δ and T₀(Δ) be the set of asymptotically conformal classes in T(Δ). Suppose that μ is a Beltrami differential on Δ with [μ] ∈ T₀(Δ). It is an interesting question whether [tμ] belongs to T₀(Δ) for general t ≠ 0, 1. In this paper, it is shown that there exists a Beltrami differential μ ∈ [0] such that [tμ] is a non-trivial non-Strebel point for any .
Barbilian's metrization procedure in the plane yields either Riemannian or Lagrange generalized metrics
In the present paper we answer two questions raised by Barbilian in 1960. First, we study how far can the hypothesis of Barbilian's metrization procedure can be relaxed. Then, we prove that Barbilian's metrization procedure in the plane generates either Riemannian metrics or Lagrance generalized metrics not reducible to Finslerian or Langrangian metrics.
Beltrami equations with coefficient in the Sobolev space W1,p.
BiLipschitz approximations of quasiconformal maps.
Boundary behaviour of quasiconformal mappings in normed spaces
Boundary correspondence under harmonic quasiconformal homeomorphisms of the unit disk.
Boundary correspondence under quasiconformal harmonic diffeomorphisms of a half-plane.
Boundary regularity and the uniform convergence of quasiconformal mappings.
Canonical mappings in
Catching sets with quasicircles.
We show how certain geometric conditions on a planar set imply that the set must lie on a quasicircle, and we give a geometric characterization of all subsets of the plane that are quasiconformally equivalent to the usual Cantor middle-third set.
Characteristic of quasispheres in terms of quasiconformal homogeneity.
Characterizations of quasidisks
Cluster sets and boundary behavior of quasiregular mappings.
Complex geometry of the universal Teichmüller space.
Conformal and quasiconformal mappings of close multiply-connected domains.