Sobolev spaces and \((P,Q)\)-quasiconformal mappings of Carnot groups
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Publication:1288073
DOI10.1007/BF02673052zbMath0917.46023WikidataQ126227058 ScholiaQ126227058MaRDI QIDQ1288073
Sergei Vodop'yanov, Alexander Ukhlov
Publication date: 10 May 1999
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic analysis on homogeneous spaces (43A85)
Related Items
Functional and analytical properties of a class of mappings of quasiconformal analysis on Carnot groups ⋮ Space quasiconformal mappings and Neumann eigenvalues in fractal type domains ⋮ Distortion of mappings and \(L_{q,p}\)-cohomology ⋮ On value distributions for quasimeromorphic mappings on \(\mathbb H\)-type Carnot groups ⋮ Toward the theory of Orlicz–Sobolev classes ⋮ Regularity of the inverse of a homeomorphism of a Sobolev-Orlicz space ⋮ Equality of the capacity and module of a condenser on a sub-Finsler space ⋮ Continuity of the mappings with finite distortion of the Sobolev class \(W^1_{\nu,\operatorname{loc}}\) on Carnot groups ⋮ The boundary behavior of $\mathcal Q_{p,q}$-homeomorphisms ⋮ Composition operators on Sobolev spaces and \(Q\)-homeomorphisms ⋮ On isolated singularities of mappings with finite length distortion ⋮ Mappings generating embedding operators in Orlicz-Sobolev spaces ⋮ Extremal length for quasiregular mappings on Heisenberg groups. ⋮ Two-weighted composition operators on Sobolev spaces and quasiconformal analysis ⋮ Sobolev mappings and moduli inequalities on Carnot groups ⋮ On the boundary behavior of weak \((p, q)\)-quasiconformal mappings ⋮ Brennan's conjecture and universal Sobolev inequalities ⋮ Mappings with bounded \((P,Q)\)-distortion on Carnot groups ⋮ To a theory of ring \(Q\)-homeomorphisms with respect to a \(p\)-modulus ⋮ Basics of the quasiconformal analysis of a two-index scale of spatial mappings ⋮ Composition operators in Orlicz-Sobolev spaces ⋮ Composition operators on Sobolev spaces and Neumann eigenvalues ⋮ \(p\)-module of vector measures in domains with intrinsic metric on Carnot groups ⋮ Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity ⋮ Spectral estimates of the \(p\)-Laplace Neumann operator and Brennan's conjecture ⋮ Boundary behavior and equicontinuity for families of mappings in terms of prime ends ⋮ To the theory of semilinear equations in the plane ⋮ A condition of smallness of girth on sub-Finsler spaces ⋮ On the equivalence of two approaches to problems of quasiconformal analysis ⋮ Prime ends in theory of mappings with finite distortion in the plane ⋮ Liouville type theorems for mappings with bounded (co)-distortion ⋮ Weak regularity of degenerate elliptic equations
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