Invariance of Capacity Under Quasisymmetric Maps of the Circle: An Easy Proof

DOI10.1007/978-88-470-2853-1_2zbMath1266.31002OpenAlexW88797691MaRDI QIDQ4913293

Nicola Arcozzi, Richard Rochberg

Publication date: 5 April 2013

Published in: Trends in Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-88-470-2853-1_2

zbMATH Keywords

capacityquasisymmetric mapsplanar quasiconformal maps

Mathematics Subject Classification ID

Discrete potential theory (31C20) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (2)

Transmission of harmonic functions through quasicircles on compact Riemann surfaces ⋮ Harmonic reflection in quasicircles and well-posedness of a Riemann-Hilbert problem on quasidisks

Cites Work

• Unnamed Item
• The boundary correspondence under quasiconformal mappings
• Random walks on a tree and capacity in the interval
• Teichmüller theory and the universal period mapping via quantum calculus and the \(H^{1/2}\) space on the circle
• Potential theory on trees, graphs and Ahlfors-regular metric spaces

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