Classification and Metrization of Classes of Smooth measures
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911655315636224 |
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| author | Ooi, Takumu Tsuchida, Kaneharu Uemura, Toshihiro |
| author_facet | Ooi, Takumu Tsuchida, Kaneharu Uemura, Toshihiro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_05864 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Classification and Metrization of Classes of Smooth measures Ooi, Takumu Tsuchida, Kaneharu Uemura, Toshihiro Probability Functional Analysis 31C25, 46E27, 28A33, 60J55 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. |
| title | Classification and Metrization of Classes of Smooth measures |
| topic | Probability Functional Analysis 31C25, 46E27, 28A33, 60J55 |
| url | https://arxiv.org/abs/2605.05864 |