Locally uniform domains and quasiconformal mappings.
Loewner chains and quasiconformal extension of holomorphic mappings
Let f(z,t) be a Loewner chain on the Euclidean unit ball B in ℂⁿ. Assume that f(z) = f(z,0) is quasiconformal. We give a sufficient condition for f to extend to a quasiconformal homeomorphism of onto itself.
Lusin's condition (N) and mappings of the class W1, n.
Mappings of domains in and their metric tensors.
Mappings of finite distortion: Compactness.
Mappings of finite distortion: composition operator.
Mappings of finite distortion : discreteness and openness for quasi-light mappings
Mappings of finite distortion: Global homeomorphism theorem.
Mappings of finite distortion: Removability of Cantor sets.
Mappings of finite distortion: sharp Orlicz-conditions.
We establish continuity, openness and discreteness, and the condition (N) for mappings of finite distortion under minimal integrability assumptions on the distortion.
Mappings of finite distortion: The zero set of the Jacobian
Mappings with bounded distortion on Heisenberg groups.
Mappings with dilatation in Orlicz spaces.
Metric density and quasimöbius mappings.
Metric duality in Euclidean spaces.
MÖbius Transformations and Multiplicative Representations for Spherical Potentials
Modulus of continuity for quasiregular mappings with finite distortion extension.
Necessary and sufficient conditions for the Bernstein inequality.
NED sets on a hyperplane.
Nonlinear potential theory for Sobolev spaces on Carnot groups.