The transfinite moduli of condensers in space

DOI10.2748/TMJ/1178228074zbMath0627.31001OpenAlexW2036579240MaRDI QIDQ1092282

Mavina K. Vamanamurthy, Glenn D. Anderson

Publication date: 1988

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

Full work available at URL: https://doi.org/10.2748/tmj/1178228074

zbMATH Keywords

conformal capacityconformal moduluscondensersextremal propertiesGrötzsch ringdiscrete modulusexpansion- contraction propertyTeichmüller ringtransfinite modulus

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Spaces of measures, convergence of measures (28A33) Quasiconformal mappings in the complex plane (30C62) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (5)

Logarithmic capacity under holomorphic motions in higher dimensions ⋮ Variational problems of potential theory ⋮ Capacities and discrete characteristics of space condensers ⋮ Geometrical logarithmic capacitance ⋮ Minimizing capacity among linear images of rotationally invariant conductors

Cites Work

• Conformal invariants and quasiregular mappings
• Numerical estimates for a Grötzsch ring constant
• Estimates for the asymptotic order of a Groetzsch ring constant
• Symmetrization of Rings in Space
• Rings and Quasiconformal Mappings in Space
• Research Problems in Complex Analysis
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