On the Riesz decomposition and integral representation of finely superharmonic functions

Authors
El Kadiri, M
Citation
M. El Kadiri, On the Riesz decomposition and integral representation of finely superharmonic functions, POSITIVITY, 4(2), 2000, pp. 105-114
Citations number
15
Categorie Soggetti
Mathematics
Journal title
POSITIVITY
ISSN journal
13851292 → ACNP
Volume
4
Issue
2
Year of publication
2000
Pages
105 - 114
Database
ISI
SICI code
1385-1292(200006)4:2<105:OTRDAI>2.0.ZU;2-4
Abstract
We define a natural topology on the cone S(U) of non-negative finely superh armonic functions on a fine domain of R-n which permits us to get the integ ral representation, we represent the invariant functions and apply this res ult to some questions of classical Potential theory.