Classification and Metrization of Classes of Smooth measures
Probability
2026-05-08 v1 Functional Analysis
Abstract
We classify the several classes of the set of smooth measures from the perspective of the denseness and the locality, and consider their relationships, in particular, that of the Kato class and Radon measures of finite energy integrals. We also introduce the Miyadera metric on the Dynkin class, and obtain the continuity of the Revuz correspondence.
Cite
@article{arxiv.2605.05864,
title = {Classification and Metrization of Classes of Smooth measures},
author = {Takumu Ooi and Kaneharu Tsuchida and Toshihiro Uemura},
journal= {arXiv preprint arXiv:2605.05864},
year = {2026}
}
Comments
36 pages