Punishing factors for finitely connected domains

DOI10.1007/s00605-005-0334-zzbMath1094.30026OpenAlexW1978739612MaRDI QIDQ2494355

Karl-Joachim Wirths, Farit G. Avkhadiev

Publication date: 26 June 2006

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-005-0334-z

zbMATH Keywords

Schwarz-Pick lemmahyperbolic radiusderivatives of arbitrary order

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (5)

Subordination under concave univalent functions ⋮ Estimates for derivatives of holomorphic functions in a hyperbolic domain ⋮ Starlike cases of the generalized Goodman conjecture ⋮ Estimates of the derivatives of meromorphic maps from convex domains into concave domains ⋮ Schwarz-Pick inequalities for the Schur-Agler class on the polydisk and unit ball

Cites Work

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• A proof of the Bieberbach conjecture
• On a conjecture of Goodman concerning meromorphic univalent functions
• Uniformly perfect sets and the Poincaré metric
• Complex dynamics
• Schwarz-Pick inequalities for hyperbolic domains in the extended plane
• Quasi-invariant domain constants
• Schwarz-Pick inequalities for derivatives of arbitrary order
• ON BOHR'S INEQUALITY
• Generalized Schwarz-Pick estimates
• Harmonic Radius and Concentration of Energy; Hyperbolic Radius and Liouville’s Equations $\Delta U = e^U $ and $\Delta U = U^{\tfrac{{n + 2}}{{n - 2}}} $
• Comparing Poincaré densities

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