Homeomorphisms that induce monomorphisms of Sobolev spaces
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Publication:1903102
DOI10.1007/BF02761638zbMath0836.46021OpenAlexW2022806376MaRDI QIDQ1903102
L. G. Gurov, Vladimir Gol'dshtein, Aleksandr Sergeevich Romanov
Publication date: 26 November 1995
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02761638
bounded operatorshomeomorphisms\(p\)-Poincaré domainsdomains with Hölder singularitiesseminormed Sobolev space
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators on function spaces (general) (47B38)
Related Items (27)
The spectral estimates for the Neumann-Laplace operator in space domains ⋮ Distortion of mappings and \(L_{q,p}\)-cohomology ⋮ Conformal weights and Sobolev embeddings ⋮ Composition operators on Sobolev spaces and \(Q\)-homeomorphisms ⋮ Composition operators on the Bergman space with quasiconformal symbols ⋮ On the distortion of the disk image diameter ⋮ On the functional properties of weak \((p, q)\)-quasiconformal homeomorphisms ⋮ Sobolev mappings and moduli inequalities on Carnot groups ⋮ On the boundary behavior of weak \((p, q)\)-quasiconformal mappings ⋮ On quasiconformal maps and semilinear equations in the plane ⋮ Brennan's conjecture and universal Sobolev inequalities ⋮ Composition of \(q\)-quasiconformal mappings and functions in Orlicz-Sobolev spaces ⋮ Composition operators in weighted Sobolev spaces on Carnot groups ⋮ Absolutely continuous functions of several variables and quasiconformal mappings ⋮ A classification of sub-Riemannian manifolds ⋮ Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings ⋮ Logarithmic Hölder continuous mappings and Beltrami equation ⋮ Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian ⋮ Composition operators on weighted Sobolev spaces and the theory of \(\mathcal{Q}_p\)-homeomorphisms ⋮ Composition operators on \(W^1X\) are necessarily induced by quasiconformal mappings ⋮ Composition operators on Sobolev spaces and Neumann eigenvalues ⋮ About homeomorphisms that induce composition operators on Sobolev spaces ⋮ Sobolev spaces and \((P,Q)\)-quasiconformal mappings of Carnot groups ⋮ On a generalization of Sobolev spaces ⋮ Liouville type theorems for mappings with bounded (co)-distortion ⋮ On logarithmic Hölder continuity of mappings on the boundary ⋮ Weak regularity of degenerate elliptic equations
Cites Work
- On the geometric definition for quasiconformal mappings
- Transformations that preserve Sobolev spaces
- Functional characteristics of quasiisometric mappings
- The Poincaré inequality for vector fields satisfying Hörmander's condition
- On mappings generating the embeddings of Sobolev spaces
- Lectures on \(n\)-dimensional quasiconformal mappings
- Algebraic Criterion on Quasiconformal Equivalence of Riemann Surfaces
- Holder Domains and Poincare Domains
- Sobolev Embeddings for Generalized Ridged Domains
- Weakly Differentiable Functions
- Quasiconformal Mappings and Royden Algebras in Space
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