Criteria for the removability of sets in spaces of \(L^1_p\) quasiconformal and quasi-isometric mappings

DOI10.1007/BF00966948zbMath0409.46032OpenAlexW2032913178MaRDI QIDQ1258945

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

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1007/bf00966948

zbMATH Keywords

Quasiconformal and QuasiIsometric MappingsRemovability of Sets

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Banach spaces of continuous, differentiable or analytic functions (46E15) Quasiconformal mappings in the complex plane (30C62) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (11)

On the isomorphism of Sobolev-type classes on metric spaces ⋮ On the equivalence of domains in the theory of Sobolev spaces with variable exponents ⋮ On admissible changes of variables for Sobolev functions on (sub)Riemannian manifolds ⋮ Unnamed Item ⋮ Isomorphisms of Sobolev spaces on Carnot groups and metric properties of mappings ⋮ Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds ⋮ Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings ⋮ Sufficiency of broken lines in the modulus method and removable sets ⋮ Isomorphisms of Sobolev spaces on Riemannian manifolds and quasiconformal mappings ⋮ Isomorphisms of Sobolev spaces on Carnot groups and quasiconformal mappings ⋮ Removable singularities for a Sobolev space

Cites Work

• Removable singularities and condenser capacities
• A p-extremal length and p-capacity equality
• Confromal invariants and function-theoretic null-sets
• Les espaces du type de Beppo Levi
• Unnamed Item
• Unnamed Item
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