Infinitesimally small spheres and conformally invariant metrics

DOI10.1007/s11854-021-0152-9zbMath1476.30106arXiv1812.04651OpenAlexW3161855997MaRDI QIDQ2046130

Stamatis Pouliasis, Alexander Yu. Solynin

Publication date: 17 August 2021

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.04651

zbMATH Keywords

conformal mappingquasiconformal mappingconformal capacitymodulus metricinfinitesimally small sphere

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Capacity and harmonic measure in the complex plane (30C85) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (4)

Intrinsic metrics in ring domains ⋮ Conformally invariant metrics and lack of Hölder continuity ⋮ A note on mappings preserving harmonic measure ⋮ Conformally invariant complete metrics

Cites Work

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• An approach to symmetrization via polarization
• Condenser Capacities and Symmetrization in Geometric Function Theory
• Isometries for the modulus metric are quasiconformal mappings
• Properties of Conformal Invariants

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