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Capacitability of Analytic Sets

Published online by Cambridge University Press:  22 January 2016

Masanori Kishi
Masanori Kishi*
Affiliation:
Mathematical Institute, Nagoya University
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Let Ω be a locally compact separable metric space and let Ф be a positive symmetric kernel. Then the inner and outer capacities of subsets of Ω are defined by means of Ф-potentials of positive measures in the following manner. We define the capacity c(K) of a compact set K in a certain manner by means of Ф-potentials.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 16 , February 1960 , pp. 91 - 109
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1960

References

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