Lattice isomorphisms of the spaces \(W^1_n\) and quasiconformal mappings

DOI10.1007/BF00967502zbMath0324.46040MaRDI QIDQ1224759

V. M. Gol'dshtejn, Sergei Vodop'yanov

Publication date: 1975

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear function spaces and their duals (46E99)

Related Items (21)

Estimates for variation of the first Dirichlet eigenvalue of the Laplace operator ⋮ Functional and analytical properties of a class of mappings of quasiconformal analysis on Carnot groups ⋮ On admissible changes of variables for Sobolev functions on (sub)Riemannian manifolds ⋮ Conformal weights and Sobolev embeddings ⋮ Regularity of the inverse of a homeomorphism of a Sobolev-Orlicz space ⋮ Estimates for Dirichlet eigenvalues of divergence form elliptic operators in non-Lipschitz domains ⋮ Sobolev extensions via reflections ⋮ Metric space mappings connected with Sobolev-type function classes ⋮ Two-weighted composition operators on Sobolev spaces and quasiconformal analysis ⋮ Isomorphisms of Sobolev spaces on Carnot groups and metric properties of mappings ⋮ The regularity of inverses to Sobolev mappings and the theory of \(\mathcal{Q}_{q,p} \)-homeomorphisms ⋮ Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds ⋮ Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings ⋮ Composition operators in Orlicz-Sobolev spaces ⋮ About homeomorphisms that induce composition operators on Sobolev spaces ⋮ A conformal de Rham complex ⋮ Order-bounded operators in vector lattices and in spaces of measurable functions ⋮ Isomorphisms of Sobolev spaces on Riemannian manifolds and quasiconformal mappings ⋮ Isomorphisms of Sobolev spaces on Carnot groups and quasiconformal mappings ⋮ On the equivalence of two approaches to problems of quasiconformal analysis ⋮ Spectral properties of the Neumann-Laplace operator in quasiconformal regular domains

Cites Work

• Algebraic Criterion on Quasiconformal Equivalence of Riemann Surfaces
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