Functional and analytical properties of a class of mappings of quasiconformal analysis on Carnot groups
From MaRDI portal
Publication:2123080
DOI10.1134/S0037446622020045zbMath1486.30150OpenAlexW4225972025MaRDI QIDQ2123080
Nikita Evseev, Sergei Vodop'yanov
Publication date: 8 April 2022
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0037446622020045
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Linear composition operators (47B33) Quasiconformal mappings in metric spaces (30L10)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Composition operators in weighted Sobolev spaces on the Carnot group
- On admissible changes of variables for Sobolev functions on (sub)Riemannian manifolds
- Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings
- Mappings of homogeneous groups and imbeddings of functional spaces
- Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
- Lattice isomorphisms of the spaces \(W^1_n\) and quasiconformal mappings
- Differentiation of integrals in \(\mathbb{R}^n\)
- Functional characteristics of quasiisometric mappings
- Sobolev spaces and \((P,Q)\)-quasiconformal mappings of Carnot groups
- Monotone functions and quasiconformal mappings on Carnot groups
- Quasiconformal mappings on Carnot groups and their applications
- Differentiability of mappings of the Sobolev space \(W_{n-1}^1\) with conditions on the distortion function
- Basics of the quasiconformal analysis of a two-index scale of spatial mappings
- Foundations for the theory of quasiconformal mappings on the Heisenberg group
- On mappings generating the embeddings of Sobolev spaces
- Geometric measure theory.
- Sobolev spaces and hypoelliptic equations
- Sobolev-type classes of functions with values in a metric space
- On the analytic and geometric properties of mappings in the theory of \(\mathscr{Q}_{q,p}\)-homeomorphisms
- The regularity of inverses to Sobolev mappings and the theory of \(\mathcal{Q}_{q,p} \)-homeomorphisms
- Composition operators on weighted Sobolev spaces and the theory of \(\mathcal{Q}_p\)-homeomorphisms
- Étude d'une classe d'applications liees à des homomorphismes d'algèbres de fonctions, et généralisant les quasi conformes
- Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity
- Isomorphisms of Sobolev spaces on Riemannian manifolds and quasiconformal mappings
- Foundations of quasiconformal analysis of a two-index scale of spatial mappings
- Über harmonische Kapazität und quasikonforme Abbildungen im Raum
- Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
- A problem in combinatorial geometry
- Lectures on \(n\)-dimensional quasiconformal mappings
- Set functions and their applications in the theory of Lebesgue and Sobolev spaces. I
- Moduli in Modern Mapping Theory
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
- CAPACITY OF CONDENSERS AND SPATIAL MAPPINGS QUASICONFORMAL IN THE MEAN
- Change of variables formula under minimal assumptions
- Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds
- Differentiability of maps of Carnot groups of Sobolev classes
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Regularity of mappings inverse to Sobolev mappings
- Moduli inequalities for W1n-1,loc-mappings with weighted bounded (q, p)-distortion
- Functional and analytic properties of a class of mappings in quasi-conformal analysis
- Isomorphisms of Sobolev spaces on Carnot groups and quasiconformal mappings
This page was built for publication: Functional and analytical properties of a class of mappings of quasiconformal analysis on Carnot groups