Inequalities for condensers, hyperbolic capacity, and extremal lengths

DOI10.1307/mmj/1029000582zbMath0228.30014OpenAlexW4233433404MaRDI QIDQ2549777

Frederick W. Gehring

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1307/mmj/1029000582

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Capacity and harmonic measure in the complex plane (30C85) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Quasiconformal mappings in the complex plane (30C62) General theory of univalent and multivalent functions of one complex variable (30C55) Covering theorems in conformal mapping theory (30C25)

Related Items (20)

Conformal modulus and its reduction via mean curvatures ⋮ Condenser capacity and hyperbolic perimeter ⋮ Contraction of areas vs. topology of mappings ⋮ Numerical estimates for a Grötzsch ring constant ⋮ Isoperimetric properties of condenser capacity ⋮ Inequalities for the capacity of non-contractible annuli on cylinders of constant and variable negative curvature ⋮ Equality case for an elliptic area condenser inequality and a related Schwarz type lemma ⋮ Mobile disks in hyperbolic space and minimization of conformal capacity ⋮ A maximum problem of S.-T. Yau for variational \(p\)-capacity ⋮ Precise estimate of the 2-capacity of a condenser ⋮ Estimates for the asymptotic order of a Groetzsch ring constant ⋮ On asymmetry and capacity ⋮ Radial averaging transformations and generalized capacities ⋮ Capacities as conformal quasi-invariants on pseudo-Riemannian manifolds ⋮ Dilatation estimates for quasiconformal extensions ⋮ Harmonic measures, Green potentials and semigroups of holomorphic functions ⋮ Radial symmetry forp-harmonic functions in exterior and punctured domains ⋮ Hyperbolic geometric versions of Schwarz’s lemma ⋮ The method of extremal length ⋮ Conformal capacity of hedgehogs

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