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.
Displaying similar documents to “Fine topology and quasilinear elliptic equations”
Plurifine potential theory
On the axiomatic of harmonic functions II
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.
Functions continuous in the fine topology for the heat equation
Ivan Netuka, Luděk Zajíček (1974)
Časopis pro pěstování matematiky
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Perturbation of harmonic structures and an index-zero theorem
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...