Kato space for Dirichlet forms

Citation
M. Biroli et U. Mosco, Kato space for Dirichlet forms, POTENT ANAL, 10(4), 1999, pp. 327-345
Citations number
14
Categorie Soggetti
Mathematics
Journal title
POTENTIAL ANALYSIS
ISSN journal
09262601 → ACNP
Volume
10
Issue
4
Year of publication
1999
Pages
327 - 345
Database
ISI
SICI code
0926-2601(199906)10:4<327:KSFDF>2.0.ZU;2-N
Abstract
We study the space of Kato measures relative to a Dirichlet form and we pro ve that a local solution of a problem relative to a Kato measure is locally continuous. Moreover if the measure of an intrinsic ball is equivalent to a power of the radius we prove also that the density of the form relative t o a local solution is locally a Kato measure.