| Title:
|
On some translation invariant balayage spaces (English) |
| Author:
|
Hoh, Walter |
| Author:
|
Jacob, Niels |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
32 |
| Issue:
|
3 |
| Year:
|
1991 |
| Pages:
|
471-478 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
balayage spaces |
| Keyword:
|
strong Feller semigroups |
| Keyword:
|
non-local potential theory |
| MSC:
|
31C45 |
| MSC:
|
47D07 |
| idZBL:
|
Zbl 0755.31012 |
| idMR:
|
MR1159795 |
| . |
| Date available:
|
2009-01-08T17:46:20Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118428 |
| . |
| Reference:
|
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| Reference:
|
[2] Bliedtner J., Hansen W.: Potential theory - An analytic and probabilistic approach to balayage.Universitext, Springer Verlag, Berlin-Heidelberg-New York-Tokyo, 1986. Zbl 0706.31001, MR 0850715 |
| Reference:
|
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| Reference:
|
[4] Deny J.: Méthodes Hilbertiennes et théorie du potentiel.In Potential Theory, C.I.M.E., Roma (1970), 123-201. |
| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
[8] Landkof N.S.: Foundation of modern potential theory.Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, Band 180, Springer Verlag, Berlin - Heidelberg - New York, 1972. MR 0350027 |
| Reference:
|
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| Reference:
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| . |
