Plurifine potential theory
Jan Wiegerinck (2012)
Annales Polonici Mathematici
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We give an overview of the recent developments in plurifine pluripotential theory, i.e. the theory of plurifinely plurisubharmonic functions.
Jan Wiegerinck (2012)
Annales Polonici Mathematici
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We give an overview of the recent developments in plurifine pluripotential theory, i.e. the theory of plurifinely plurisubharmonic functions.
Corneliu Constantinescu, A. Cornea (1963)
Annales de l'institut Fourier
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On démontre dans l’axiomatique de M. Brelot la linéarité de l’opération de balayage appliquée aux fonctions surharmoniques en utilisant seulement les axiomes 1, 2, 3, l’espace de base n’ayant pas nécessairement une base dénombrable.
Ivan Netuka, Luděk Zajíček (1974)
Časopis pro pěstování matematiky
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Bertram Walsh (1970)
Annales de l'institut Fourier
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In the framework of an axiomatic theory of sheaves of “harmonic” functions, a notion of perturbation of these sheaves is introduced which corresponds to the replacement of the operator by an operator , in the classical situation. The “harmonic” functions with which the paper is concerned are assumed to satisfy certain hypotheses (weaker than the axioms of Bauer); it is shown that the perturbed harmonic functions also satisfy these hypotheses. Moreover, the results obtained imply that...
Pavel Pyrih (1992)
Commentationes Mathematicae Universitatis Carolinae
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In Landkof’s monograph [8, p. 213] it is asserted that logarithmic capacity is strongly subadditive, and therefore that it is a Choquet capacity. An example demonstrating that logarithmic capacity is not even subadditive can be found e.gi̇n [6, Example 7.20], see also [3, p. 803]. In this paper we will show this fact with the help of the fine topology in potential theory.
Latvala, Visa (1997)
Annales Academiae Scientiarum Fennicae. Mathematica
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