The Dependence of Capacities on moving Branch points

DOI10.1017/S002776300000934XzbMath1133.31002OpenAlexW1480618852MaRDI QIDQ5421081

Mitsuru Nakai

Publication date: 22 October 2007

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

Full work available at URL: https://projecteuclid.org/euclid.nmj/1182525228

zbMATH Keywords

harmonic measureDirichlet integralcovering surfacemodulusDirichlet principletwo-sheeted plane (sphere)

Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Harmonic functions on Riemann surfaces (30F15) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Cites Work

• Variations of pseudoconvex domains over \({\mathbb{C}}^ n\)
• The role of compactification theory in the type problem
• Sur le movement des constantes de Robin
• Normal families
• Harmonic Function Theory
• Weierstrass points, branch points, and moduli of riemann surfaces
• The metric induced by the Robin function
• The Role of Completeness in the Type Problem for Infinitely Sheeted Planes
• The role of symmetry for pasting arcs in the type problem
• Types of complete Infinitely sheeted Planes
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