Half-plane capacity and conformal radius

DOI10.1090/S0002-9939-2013-11811-3zbMath1283.30058arXiv1201.5878MaRDI QIDQ5401674

Carto Wong, Steffen Rohde

Publication date: 11 March 2014

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

Full work available at URL: https://arxiv.org/abs/1201.5878

zbMATH Keywords

conformal mappinghyperbolic distanceharmonic measureconformal radiushalf-plane capacity

Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Geometric function theory (30C99)

Related Items (9)

The Schramm-Loewner equation for multiple slits ⋮ Ahlfors-Beurling conformal invariant and relative capacity of compact sets ⋮ Loewner chains and Hölder geometry ⋮ Exact solutions of Loewner equations ⋮ Driving functions and traces of the Loewner equation ⋮ Smoothness of Loewner slits ⋮ Perturbation of the tangential slit by conformal maps ⋮ On tangential slit solution of the Loewner equation ⋮ On the continuity of half-plane capacity with respect to Carathéodory convergence

Cites Work

• Geometric interpretation of half-plane capacity
• Variation of the conformal radius
• Lower bounds for the half-plane capacity of compact sets and symmetrization
• Ahlfors-Beurling conformal invariant and relative capacity of compact sets
• Unnamed Item

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