Unique determination of conformal type for domains

DOI10.33048/semi.2019.16.045zbMath1420.53053OpenAlexW4229769959MaRDI QIDQ2003267

Anatoliĭ Pavlovich Kopylov

Publication date: 16 July 2019

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2019.16.045

zbMATH Keywords

conformal mappingquasiconformal mappingisometric mappingunique determination\(p\)-modulus of path familiesboundary condenser

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Rigidity results (53C24)

Related Items (2)

Unique determination of conformal type for domains. III ⋮ Unique determination of conformal type for domains. II

Cites Work

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• Erratum to: ``Uniqueness of polyhedral domains and \(p\)-moduli of path families
• Uniqueness of polyhedral domains and \(p\)-moduli of path families
• A remark on the moduli of rings
• The equality between \(p\)-capacity and \(p\)-modulus
• On unique determination of conformal type for domains in Euclidean spaces
• The coefficients of quasiconformality of domains in space
• Unique determination of convex polyhedral domains by relative conformal moduli of boundary condensers
• On unique determination of domains in Euclidean spaces
• Confromal invariants and function-theoretic null-sets
• Symmetrization of Rings in Space
• Rings and Quasiconformal Mappings in Space

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