(1) Department of Mathematics, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy;(2) Department of Mathematics G. Castelnuovo, Università di Roma La Sapienza, Piazzale A.~Moro 2, 00185 Roma, Italy
Abstract:
We study the space of Kato measures relative to a Dirichlet form and we prove 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 to a local solution is locally a Kato measure.