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.
Classification :
31C45, 47D07
Keywords: balayage spaces; strong Feller semigroups; non-local potential theory
Keywords: balayage spaces; strong Feller semigroups; non-local potential theory
@article{CMUC_1991__32_3_a8,
author = {Hoh, Walter and Jacob, Niels},
title = {On some translation invariant balayage spaces},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {471--478},
publisher = {mathdoc},
volume = {32},
number = {3},
year = {1991},
mrnumber = {1159795},
zbl = {0755.31012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1991__32_3_a8/}
}
TY - JOUR AU - Hoh, Walter AU - Jacob, Niels TI - On some translation invariant balayage spaces JO - Commentationes Mathematicae Universitatis Carolinae PY - 1991 SP - 471 EP - 478 VL - 32 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_1991__32_3_a8/ LA - en ID - CMUC_1991__32_3_a8 ER -
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/