Algebraic Criterion on Quasiconformal Equivalence of Riemann Surfaces

DOI10.1017/S0027763000007625zbMath0096.06101MaRDI QIDQ3274309

Mitsuru Nakai

Publication date: 1960

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

zbMATH Keywords

complex functions

Related Items (19)

On Wiener homeomorphism between Riemann surfaces ⋮ Homeomorphisms that induce monomorphisms of Sobolev spaces ⋮ Quasiconformal Mappings and Royden Algebras in Space ⋮ A Measure on the Harmonic Boundary of a Riemann Surface ⋮ Existence of quasiconformal mappings between Riemannian manifolds ⋮ Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds ⋮ A classification of sub-Riemannian manifolds ⋮ Quasiconformal Mappings and Royden Algebras in Space ⋮ Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings ⋮ Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings ⋮ Dirichlet Spaces and Strong Markov Processes ⋮ Algebraic characterization of quasi-isometric spaces via the Higson compactification ⋮ Square Integrable Differentials on Riemann Surfaces and Quasiconformal Mappings ⋮ Lattice isomorphisms of the spaces \(W^1_n\) and quasiconformal mappings ⋮ Traces of functions of $L^1_2$ Dirichlet spaces on the Carathéodory boundary ⋮ Sobolev spaces and \((P,Q)\)-quasiconformal mappings of Carnot groups ⋮ The quasiconformal equivalence of Riemann surfaces and the universal Schottky space ⋮ On Evans' solution of the equation $\Delta u=Pu$ on Riemann surfaces ⋮ Royden’s map between Riemann surfaces

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• On a Ring Isomorphism Induced by Quasiconformal Mappings
• Purely algebraic characterization of quasiconformality
• On rings of analytic functions

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