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Titlebook: Classical and Modern Potential Theory and Applications; K. GowriSankaran,J. Bliedtner,I. Netuka Book 1994 Kluwer Academic Publishers 1994

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https://doi.org/10.1007/978-3-642-88097-1gory set of θ Neither the growth rate nor the category condition can be relaxed. This article surveys various analogues and extensions of Schneider’s result. The role of holomorphic and harmonic approximation theorems in the production of counterexamples is indicated. Sections 1 and 2 are largely a
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https://doi.org/10.1007/978-981-99-6679-0on of the well-known fundamantal result of G. A. Hunt and C. T. Shih. The quasi-continuous elements in H-cones are introduced and characterized. (In the classical situation these are the countable sums of bounded continuous potentials with compact carrier.) In the particular case of excessive measur
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https://doi.org/10.1007/978-981-99-6679-0hich a Fatou boundary limit theorem holds when the filter is copied by rotation at all points of the unit circle. In [4]the authors used the principal result from [3] to show that there is a coarsest filter when the problem is suitably normalized. The normalization assigns to each positive harmonic
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Research Topics in Analysis, Volume In extensively studied in finite dimension. Their extension to infinite dimensional probability spaces would give useful tools for numerical computation of numerous probability models involving, for example, Brownian motion. In this paper we discuss aspects of this extension and give results concerni
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Spectra of Differential Operators,f an .-cone is the set of extended real-valued additive and left order continuous functions finite on a dense set. Since the introduction of .-cones it has been unknown how well an .-cone can be embedded into its second dual. We have proved earlier that an .-cone is always specifically solid in its
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Nonlinear PDE and the Wiener Test,be expressed as the divergence of the Dini type integral .where Ω is the (bounded) domain (contained in .., . ≥ 3) in question, . is a (closed) ball of radius . > 0 centered at . ∈.Ω = boundary of Ω, and .. is the usual variational capacity,..
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