On conformal capacity and Teichmüller’s modulus problem in space | Zendy

Dimitrios Betsakos | Zendy

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On conformal capacity and Teichmüller’s modulus problem in space

Author(s) -

Dimitrios Betsakos

Publication year - 1999

Publication title -

journal d analyse mathématique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.189

H-Index - 53

eISSN - 1565-8538

pISSN - 0021-7670

DOI - 10.1007/bf02788241

Subject(s) - conformal map , dimension (graph theory) , extremal length , condenser (optics) , mathematics , space (punctuation) , ring (chemistry) , combinatorics , pure mathematics , mathematical analysis , conformal symmetry , physics , computer science , chemistry , light source , organic chemistry , optics , operating system

We solve an extremal problem for the conformal capacity of certain space condensers. The extremal condenser is conformally equivalent to Teichmüller’s ring. As an application, we give a dimension-free estimate for the minimal conformal capacity of the condensers with platesE, F such thata, b ∈ E,c, d ∈ F, wherea, b, c, d are given points in$$\overline R ^n $$.

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