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Estimates for the asymptotic order of a Groetzsch ring constant

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Publication:1169060
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DOI10.2748/tmj/1178229313zbMath0494.30021OpenAlexW2059280857MaRDI QIDQ1169060

Mavina K. Vamanamurthy, Glenn D. Anderson

Publication date: 1982

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229313

zbMATH Keywords

Groetzsch ring in n-spacen-modulus


Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Quasiconformal mappings in the complex plane (30C62) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)


Related Items

The transfinite moduli of condensers in space, Numerical estimates for a Grötzsch ring constant, Asymptotic estimates for moduli of extremal rings



Cites Work

  • Lectures on \(n\)-dimensional quasiconformal mappings
  • Inequalities for condensers, hyperbolic capacity, and extremal lengths
  • Symmetrization of Rings in Space
  • A remark on domains quasiconformally equivalent to a ball
  • Dependence on Dimension of a Constant Related to the Grotzsch Ring
  • On the Convergence of the L p Norm to the L ∞ Norm
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