Some properties of the Riesz charge associated with a \(\delta\)- subharmonic function

DOI10.1007/BF00301788zbMath0766.31010MaRDI QIDQ1202901

Bent Fuglede

Publication date: 25 February 1993

Published in: Potential Analysis (Search for Journal in Brave)

zbMATH Keywords

balayageharmonic measureRiesz measuredelta-subharmonicaxiom of domination

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Fine potential theory; fine properties of sets and functions (31C40) Axiomatic potential theory (31D05) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items

Elliptic operators, conormal derivatives and positive parts of functions (with an appendix by Haïm Brezis), Subharmonic Configurations and Algebraic Cauchy Transforms of Probability Measures, Riesz spherical potentials with external fields and minimal energy points separation, Riesz energy problems with external fields and related theory, Riesz external field problems on the hypersphere and optimal point separation, A version of Fabry’s theorem for power series with regularly varying coefficients, Kato's inequality and Kato's inequality up to the boundary, Local Asymptotic Distribution of Zeros of Orthogonal Polynomials

Cites Work

• Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel
• On the Riesz charge of the lower envelope of \(\delta\)-subharmonic functions.
• Minorantes sous-harmoniques, extremales et capacites
• On the balayage of Green functions on finely open sets
• Local Asymptotic Distribution of Zeros of Orthogonal Polynomials
• Potentiel et Problème Généralisé de Dirichlet
• Sur l'allure des fonctions harmoniques et sousharmoniques à la frontière. En hommage de reconnaissance au professeur Erhard Schmidt.
• Functions Representable as Differences of Subharmonic Functions
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