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Kato Space for Dirichlet Forms |
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| Authors: | Biroli Marco Mosco Umberto |
| Institution: | (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. |
| Keywords: | Potential theory Dirichlet forms elliptic degenerate equations |
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