26 citations · 47 across the 8 of their papers we have counts for
8 papers
On grand Sobolev spaces and pointwise description of Banach function spaces
Pankaj Jain, Anastasia Molchanova, Monika Singh +1
We obtain a pointwise description of functions belonging to function spaces with the lattice property. In particular, it is valid for Banach function spaces provided that the Hardy…
Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity
A. O. Molchanova, S. K. Vodop'yanov
We show that a sufficient condition for the weak limit of a sequence of -homeomorphisms with finite distortion to be almost everywhere injective for , can be sta…
Approximate Differentiability of Mappings of Carnot-Carathéodory Spaces
Sergey Basalaev, Sergey Vodopyanov
We study the approximate differentiability of measurable mappings of Carnot--Carathéodory spaces. We show that the approximate differentiability almost everywhere is equivalent to…
Sharp geometric rigidity of isometries on Heisenberg groups
D. V. Isangulova, S. K. Vodopyanov
We prove sharp geometric rigidity estimates for isometries on Heisenberg groups. Our main result asserts that every -quasi-isometry on a John domain of the Heisenb…
A Coarea Formula for Smooth Contact Mappings of Carnot--Carathéodory Spaces
M. Karmanova, S. Vodopyanov
We prove the coarea formula for sufficiently smooth contact mappings of Carnot manifolds. In particular, we investigate level surfaces of these mappings, and compare Riemannian and…
Geometry of Carnot--Carathéodory Spaces, Differentiability and Coarea Formula
Maria Karmanova, Sergey Vodopyanov
We give a simple proof of Gromov's Theorem on nilpotentization of vector fields, and exhibit a new method for obtaining quantitative estimates of comparing geometries of two differ…