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.
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Biroli, M., Mosco, U. Kato Space for Dirichlet Forms. Potential Analysis 10, 327–345 (1999). https://doi.org/10.1023/A:1008684104029
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DOI: https://doi.org/10.1023/A:1008684104029