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Energy integrals and asymmetric co-potentials for closed forms
Kazuhiro Kuwae, Takumu Ooi, Kaneharu Tsuchida +1
We investigate the class of measures of finite energy integrals and the behavior of potentials and co-potentials associated with non-symmetric closed forms. In particular, we compa…
Classification and Metrization of Classes of Smooth measures
Takumu Ooi, Kaneharu Tsuchida, Toshihiro Uemura
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 K…
Smooth measures and positive continuous additive functionals attached to a compact nest
Takumu Ooi, Kaneharu Tsuchida, Toshihiro Uemura
The relationship between smooth measures and positive continuous additive functionals is well known, and this correspondence is called the Revuz correspondence. We investigate the…
On a convergence of positive continuous additive functionals in terms of their smooth measures
Yasuhito Nishimori, Matsuyo Tomisaki, Kaneharu Tsuchida +1
A compactness of the Revuz map is established in the sense that the locally uniform convergence of a sequence of positive continuous additive functionals is derived in terms of the…