Ahlfors-Beurling conformal invariant and relative capacity of compact sets

DOI10.1090/S0002-9939-2014-12125-3zbMath1302.30027arXiv1112.4245OpenAlexW2031845905MaRDI QIDQ3190389

V. N. Dubinin, Matti Vuorinen

Publication date: 17 September 2014

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

Full work available at URL: https://arxiv.org/abs/1112.4245

zbMATH Keywords

Schwarzian derivativeinner radiusconformal invariantrelative capacity

Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85)

Related Items (5)

Schwarzian derivative and covering arcs of a pencil of circles by holomorphic functions ⋮ Some Unsolved Problems About Condenser Capacities on the Plane ⋮ Half-plane capacity and conformal radius ⋮ Quadratic differentials and conformal invariants ⋮ On the continuity of half-plane capacity with respect to Carathéodory convergence

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Another look at the Burns-Krantz theorem
• Geometric interpretation of half-plane capacity
• On the reflection principle and some elementary ratios of conformal radii
• An inequality for logarithmic capacities
• Radial averaging of domains, estimates for Dirichlet integrals and applications
• Transformations of domains in the plane and applications in the theory of functions
• Confromal invariants and function-theoretic null-sets
• Lower bounds for the half-plane capacity of compact sets and symmetrization
• Rigidity at the boundary for holomorphic self-maps of the unit disk
• Boundary values of the Schwarzian derivative of a regular function
• Half-plane capacity and conformal radius
• Conformal invariance and $2D$ statistical physics
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

This page was built for publication: Ahlfors-Beurling conformal invariant and relative capacity of compact sets