Hiroshima Mathematical Journal

Balayage, capacity and a duality theorem in Dirichlet spaces

Takahide Kurokawa
Source: Hiroshima Math. J. Volume 7, Number 2 (1977), 583-596.
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Primary Subjects: 31C25
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.hmj/1206135754
Mathematical Reviews number (MathSciNet): MR0460679
Zentralblatt MATH identifier: 0367.31004

References

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Zentralblatt MATH: 0089.08201
Mathematical Reviews (MathSciNet): MR106365
[2] H. Cartan, Theorie generate du balayage en potentiel newtonien, Ann. Univ. Grenoble. Sect. Sci. Math. Phys. (N. S.) 22 (1946), 221-280.
Zentralblatt MATH: 0061.22701
Mathematical Reviews (MathSciNet): MR20682
[3] G. Choquet, Theory of capacities, Ann. Inst. Fourier (Grenoble), 5 (1954), 131-295.
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Mathematical Reviews (MathSciNet): MR80760
[4] J. Deny, Synthese spectrale dans lesespace de Dirichlet, Seminaire d'Orsay, 1961/62.
[5] J. Deny, Theorie de la capacite dans les espaces fonctionnels, Seminaire Theorie Potentiel, dirige par M. Brelot, G. Choquet et J. Deny, 9e annee 1964/65, Exp. 1, 13 pp. Secretariat Mathematique, Paris, 1965.
Zentralblatt MATH: 0138.36605
Mathematical Reviews (MathSciNet): MR190367
[6] J. Deny, Methodes hilbertiennes en theorie du potentiel, Potential Theory (C. I. M. E., I Ciclo, Stresa, 1969), 121-201, Roma, 1970.
Zentralblatt MATH: 0212.13401
Mathematical Reviews (MathSciNet): MR284609
[7] M. Ito, On total masses of balayaged measures, Nagoya Math.J. 30 (1967), 263-278.
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Mathematical Reviews (MathSciNet): MR218607
[8] J. Kelley and I. Namioka, Linear topological spaces, Van Nostrand, Princeton, 1963.
Zentralblatt MATH: 0318.46001
Mathematical Reviews (MathSciNet): MR166578

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