Harmonic spaces with positive potentials and nonconstant harmonic functions

DOI10.1007/BF02844239zbMath0263.31011OpenAlexW2065469865MaRDI QIDQ2561312

I. Victor Anandam

Publication date: 1972

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02844239

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Axiomatic potential theory (31D05) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (2)

Trees as Brelot spaces. ⋮ A global Riesz decomposition theorem on trees without positive potentials

Cites Work

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• On the principle of harmonic measure
• Lectures on potential theory. Notes by K. N. Gowrisankaran and M. K. Venkatesha Murthy
• Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel
• Fatou-Naïm-Doob limit theorems in the axiomatic system of Brelot
• On \(\Phi\)-bounded harmonic functions
• Flux in axiomatic potential theory. I: Cohomology
• Espaces harmoniques sans potentiel positif. (Harmonic spaces without positive potential)
• Compactifications of Harmonic Spaces

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