Quasiconformal Mappings and Royden Algebras in Space

DOI10.2307/1995919zbMath0214.38302OpenAlexW4230237094MaRDI QIDQ5617138

Lawrence G. Lewis

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/1995919

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Compact Riemann surfaces and uniformization (30F10) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Related Items (15)

On the entropy of Hilbert geometries of low regularities ⋮ Existence of quasiconformal mappings between Riemannian manifolds ⋮ A classification of sub-Riemannian manifolds ⋮ On some problems of quasiconformal isotopy ⋮ Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings ⋮ Riemannian manifolds with connected Royden harmonic boundaries ⋮ Fred Gehring's mathematics ⋮ Removable singularities and condenser capacities ⋮ On a boundary correspondence for quasiconformal mappings of threedimensional domains ⋮ Rough isometry and \(p\)-harmonic boundaries of complete Riemannian manifolds ⋮ Quasiconformally homogeneous domains ⋮ Functional characteristics of quasiisometric mappings ⋮ Traces of functions of $L^1_2$ Dirichlet spaces on the Carathéodory boundary ⋮ Sobolev spaces and \((P,Q)\)-quasiconformal mappings of Carnot groups ⋮ Transformations that preserve Sobolev spaces

Cites Work

• Extremal length definitions for the conformal capacity of rings in space
• The coefficients of quasiconformality of domains in space
• Über harmonische Kapazität und quasikonforme Abbildungen im Raum
• Change of variables for absolutely continuous functions
• Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
• Algebraic Criterion on Quasiconformal Equivalence of Riemann Surfaces
• Symmetrization of Rings in Space
• Rings and Quasiconformal Mappings in Space
• Some topological properties on Royden's compactification of a Riemann surface
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