Abstract
The electric capacity of a conductor in the 3-dimensional euclidean space is defined as the ratio of a positive charge given to the conductor and the potential on its surface. The notion of capacity was defined mathematically first by N. Wiener [7] and developed by C. de la Vallée Poussin, O. Frostman and others. For the history we refer to Frostman’s thesis [2]. Recently studies were made on different definitions of capacity and related notions. We refer to M. Ohtsuka [4] and G. Choquet [1], for instance. In the present paper we shall investigate further some relations among various kinds of capacity and related notions. A part of the results was announced in a lecture of the author in 1962.
Publisher
Cambridge University Press (CUP)
Reference7 articles.
1. Certain Notions in Potential Theory
2. An application of the minimax theorem to the theory of capacity;Ohtsuka;J. Sci. Hiroshima Univ. Ser. A-I Math.,1965
3. Generalized capacity and duality theorem in linear programming;Ohtsuka;ibid.,1966
4. Diamètre transfini et comparaison de diverses capacités, Sém;Choquet;Theorie du potentiel,59
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