Quasi-Bounded and Singular Functions

DOI10.2307/1996860zbMath0287.31008OpenAlexW4255440410MaRDI QIDQ4774776

Maynard G. Arsove, Heinz Leutwiler

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/1996860

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (17)

Necessary conditions in Phragmén-Lindelöf type estimates and decomposition of holomorphic functions ⋮ Characterization of Quasi-Units in Terms of Equilibrium Potentials ⋮ Singular and quasi-bounded functions associated with the heat equation ⋮ Continuity of envelopes of unbounded plurisubharmonic functions ⋮ Rooftop envelopes and residual plurisubharmonic functions ⋮ Quasi-bounded and singular thermal potentials ⋮ A unified theory of harmonic measures and capacitary potentials ⋮ Superharmonic extensions, mean values and Riesz measures ⋮ Quasibounded plurisubharmonic functions ⋮ Harmonic functions of bounded mean oscillation ⋮ Generalized absolute values, ideals and homomorphisms in mixed lattice groups ⋮ A fine domination principle for excessive measures ⋮ Painlevé's theorem and the Phragmén-Lindelöf maximum principle ⋮ Internal-external factorization in Lumer's Hardy spaces ⋮ A potential-theoretic approach to parallel addition ⋮ Riesz decompositions and subtractivity for excessive measures. ⋮ Removability of polar sets for harmonic functions.

Cites Work

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• The Wiener-Dirichlet problem and the theorem of Evans
• Hardy classes on Riemann surfaces
• Painlevé's theorem and the Phragmén-Lindelöf maximum principle
• Sur les moyennes des fonctions harmoniques et analytiques et la classification des surfaces de Riemann
• On Some Families of Analytic Functions on Riemann Surfaces

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