8 citations · 9 across the 3 of their papers we have counts for
3 papers
math.FA2007★ 1 cited
Sobolev homeomorphisms and Poincare inequality
V. Gol'dshtein, A. Ukhlov
We study global regularity properties of Sobolev homeomorphisms on -dimensional Riemannian manifolds under the assumption of -integrability of its first weak derivatives in d…
math.CV2007★ 8 cited
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…
math.FA2007
Weighted Sobolev spaces and embedding theorems
V. Gol'dshtein, A. Ukhlov
In the present paper we study embedding operators for weighted Sobolev spaces whose weights satisfy the well-known Muckenhoupt A_p-condition. Sufficient conditions for boundedness…