Hostname: page-component-7b7567c8c-2n9c9 Total loading time: 0 Render date: 2026-11-14T07:27:20.123Z Has data issue: false hasContentIssue false
  • English
  • Français

Ultrapotentials and positive eigenfunctions for an absolutely continuous resolvent of kernels

Published online by Cambridge University Press:  22 January 2016

Lucian Beznea
Lucian Beznea*
Affiliation:
Department of Mathematics, INCREST, Bd. Pacii 220, 79622 Bucharest, Romania
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

Let (X, ) be a measurable space and be a submarkovian resolvent of kernels (with the initial kernel V proper) on X which is absolutely continuous and has a dual resolvent (with the same properties) with respect to a σ-finite measure.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 112 , December 1988, pp. 125 - 142
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1988

References

[1] Boboc, N., Bucur, Gh. and Cornea, A., Order and convexity in potential theory: H-cones, Lecture Notes in Math., 853, Springer, Berlin-Heidelberg-New York, 1981.Google Scholar
[2] Boboc, N. and Musţafã, P., Fonctions complètement surharmoniques associées aux operateurs différentiels de second ordre du type elliptique, Ann. Fac. Sci. de Kinshasa, Zaire; Section Math-Phys., 1 (1975), 249–281.Google Scholar
[3] Boboc, N. and Nkomba-Tshola, M. M., Eléments complètement excessifs par rapport à une résolvante, Ann. Fac. Sci. de Kinshasa, Zair; Section Math.-Phys., 2 (1976), 1–30.Google Scholar
[4] Choquet, G., Deux exemples classiques de représentation intégral, Enseignement Math., 15 (1969), 63–75.Google Scholar
[5] Constantinescu, C. and Cornea, A., Potential theory on harmonie spaces, Springer, Berlin-Heidelberg-New York, 1972.CrossRefGoogle Scholar
[6] Itô, M., Positive eigen elements for an infinitesimal generator of a diffusion semigroup and their integral representations, In: Potential Theory Copenhagen 1979, Lecture Notes in Math., 787, Springer, 1980.Google Scholar
[7] Itô, M. and Suzuki, N., Completely superharmonic measures for the infinitesimal generator A of a diffusion semi-group and positive eigen elements of A , Nagoya Math. J., 83 (1981), 53–106.CrossRefGoogle Scholar
[8] Meyer, P.-A., Probability and Potentials, Blaisdell Publishing Comp. 1966.Google Scholar
[9] Meyer, P.-A., Processus de Markov: la frontière de Martin, Lecture Notes in Math., 77, Springer, Berlin-Heidelberg-New York, 1968.Google Scholar
[10] Schaefer, H. H., Banach lattices and positive operators, Springer, Berlin-Heidelberg-New York, 1974.Google Scholar