Geodesic
On some translation invariant balayage spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 3, pp. 471-478
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It is well known that strong Feller semigroups generate balayage spaces provided the set of their excessive functions contains sufficiently many elements. In this note, we give explicit examples of strong Feller semigroups which do generate balayage spaces. Further we want to point out the role of the generator of the semigroup in the related potential theory.
It is well known that strong Feller semigroups generate balayage spaces provided the set of their excessive functions contains sufficiently many elements. In this note, we give explicit examples of strong Feller semigroups which do generate balayage spaces. Further we want to point out the role of the generator of the semigroup in the related potential theory.
Classification : 31C45, 47D07
Keywords: balayage spaces; strong Feller semigroups; non-local potential theory 
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Hoh, Walter; Jacob, Niels. On some translation invariant balayage spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 3, pp. 471-478. http://geodesic.mathdoc.fr/item/CMUC_1991_32_3_a8/

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