49 citations · 101 across the 51 of their papers we have counts for
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On the theory of generalized quasiconformal mappings
Vladimir Gol'dshtein, Evgeny Sevost'yanov, Alexander Ukhlov
We study generalized quasiconformal mappings in the context of the inverse Poletsky inequality. We consider the local behavior and the boundary behavior of mappings with the invers…
Brennan's conjecture for composition operators on Sobolev spaces
Vladimir Gol'dshtein, Alexander Ukhlov
We show that Brennan's conjecture is equivalent to boundedness of composition operators on homogeneous Sobolev spaces generated by conformal homeomorphisms of simply connected plan…
Sobolev Homeomorphisms and Composition Operators
V. Gol'dshtein, A. Ukhlov
We study invertibility of bounded composition operators of Sobolev spaces. The problem is closely connected with the theory of mappings of finite distortion. If a homeomorphism …
Sobolev spaces and mappings with bounded (P,Q)-distortion on Carnot groups
A. Ukhlov, S. K. Vodopyanov
We study mappings with bounded (p,q)-distortion associated to Sobolev spaces on Carnot groups. Mappings of such type have applications to the Sobolev type embedding theory and clas…