Champagne subregions of the unit disc

DOI10.1090/S0002-9939-2012-11393-0zbMath1278.31001arXiv1101.1554OpenAlexW2963223604MaRDI QIDQ2846752

Joanna Pres

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.1554

zbMATH Keywords

capacityharmonic measure

Mathematics Subject Classification ID

Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (4)

Unavoidable sets and harmonic measures living on small sets ⋮ Champagne subdomains with unavoidable bubbles ⋮ On sublevel set estimates and the Laplacian ⋮ Harmonic measure of the outer boundary of colander sets

Cites Work

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• Champagne subregions of the disk whose bubbles carry harmonic measure
• Potential theory - selected topics
• Champagne subregions of the unit ball with unavoidable bubbles
• On minimal thinness, reduced functions and Green potentials
• Harmonic measure and uniform densities
• Quasiadditivity and measure property of capacity and the tangential boundary behavior of harmonic functions

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