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On the Transitive Domination Principle for Continuous Function-Kernels

Published online by Cambridge University Press:  22 January 2016

Isao Higuchi
Isao Higuchi*
Affiliation:
Department of Mathematics, Aichi Institute of Technology
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One of the interesting problems in the potential theory for a function-kernel is to investigate the relation between the domination principle and the balayage principle.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 57 , June 1975 , pp. 27 - 35
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1975

References

[1] Durier, R.: Thèse, Faculté des Sciences d’Orsay, Université de Paris, 1969.Google Scholar
[2] Higuchi, I. and Itô, M.: On the theorem of Kishi for a continuous function-kernel, Nagoya Math. J., 53 (1974), p. 127–135.CrossRefGoogle Scholar
[3] Itô, M.: Sur les principes divers du maximum et le type positif, Nagoya Math. J., 44 (1971), p. 133–164.Google Scholar
[4] Kishi, M.: Maximum principles in the potential theory, Nagoya Math. J., 23 (1963), p. 165–187.Google Scholar
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[6] Ninomiya, N.: Etude sur la théorie du potentiel pris par rapport au noyau symétrique, J. Inst. Polytechnics, Osaka City Univ., 8 (1957), p. 147–178.Google Scholar