Perturbation of Dirichlet Forms by Measures (1996)
| Venue: | POTENTIAL ANALYSIS |
| Citations: | 15 - 8 self |
BibTeX
@MISC{Stollmann96perturbationof,
author = {Peter Stollmann and Jürgen Voigt},
title = { Perturbation of Dirichlet Forms by Measures},
year = {1996}
}
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Abstract
Perturbations ofa Dirichlet form 0 by measures/ ~ are studied. The perturbed form 0- #- + /z+ is defined for/~ _ in a suitable Kato class and #+ absolutely continuous with respect to capacity. Lp-properties of the corresponding semigroups are derived by approximating # _ by functions. For treating #+, a criterion for domination of positive semigroups is proved. If the unperturbed semigroup has Lp- Lq-smoothing properties the same is shown to hold for the perturbed semigroup. If the unperturbed semigroup is holomorphic on L ~ the same is shown to be true for the perturbed semigroup, for a large class of measures.
