CONDUCTANCE AND CAPACITY INEQUALITIES FOR CONFORMAL MAPPINGS

  • Chung, Bo-Hyun (Mathematics Section, College of Science and Technology Hong-Ik University)
  • Received : 2003.12.17
  • Published : 2004.02.28

Abstract

Let $E,F{\subset}(R^*)^n$ be non-empty sets and let ${\Gamma}$ be this family of all closed curves which join E to F in $(R^*)^n$. In this paper, we shall study the problems of finding properties for the conductance $C({\Gamma})$. And we obtain the inequalities in connection with capacity of condensers.

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