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

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纹章

起波澜

Ralph H. Nafziger,Gene C. Ulmer,Ed WoermannWe consider Sobolev spaces and capacities associated with a generalized Ornstein-Uhlenbeck semigroup. In order to obtain a probabilistic counterpart, we construct and investigate certain multiparameter processes. These are used to characterize polar sets and quasi-continuous functions.

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Muscularis

调情

Jason Home,Tom Snelling,John WillisonWe give a necessary and sufficient condition of Wiener type for the regularity of boundary points for Poincaré-Dirichlet forms; moreover estimates on the modulus of continuity and on the energy decay of a solution at a regular boundary point are studied.

孤独无助

https://doi.org/10.1007/978-981-99-6679-0The behaviour of the balayage on the complement of a fine open set is investigated near an irregular boundary point. We extend also the classical Harnack inequality. We generalise essentially, in the frame of excessive functions, results of M. Brelot, E. Smyrnelis, H. Bauer, W. Hansen and I. Netuka obtained in the context of harmonic spaces.

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Horizon

arousal

,k-Superharmonic Functions and L. Kelvin’s Theorem,In this work we have given the definition of “k-superharmonic” functions on the hyper octant related to the operator L.. After that we examined some properties of them such as the concavity property of the weighted mean value and the boundary behaviour of k-superharmonic functions.