The transfinite moduli of condensers in space

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概要

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• The authors prove the equality of the transfinite α -modulus and the discrete α -modulus of a condenser in p-space, 0<α ≤ p, p ≥ 3. Two extremal properties for the transfinite modulus of the Teichmüller ring are deduced from an expansion-contraction property of condensers. For the important examples of the spherical annulus and a ring of Grötzsch type in p-space, p ≥ 3, the transfinite p-modulus is compared with the conformal modulus.

• 東北大学の論文
• 1988-03-00

著者

• Anderson Glen

  Michigan State University

• Vamanamurthy Mavina

  University of Auckland

関連論文

• The transfinite moduli of condensers in space
• ESTIMATES FOR THE ASYMPTOTIC ORDER OF A GRÖTZSCH RING CONSTANT
• ASYMPTOTIC ESTIMATES FOR MODULI OF EXTREMAL RINGS

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