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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2408.15468 |
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| _version_ | 1866916440230068224 |
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| author | Maruyama, Takashi Seto, Tatsuki |
| author_facet | Maruyama, Takashi Seto, Tatsuki |
| contents | We introduce a generalization of the Young integration on self-similar sets defined in a closed interval and give a sufficient condition of its integrability. We also prove integration by substitution, integration by parts and term-by-term integration and give examples of the properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15468 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Young-type integration on self-similar sets in intervals Maruyama, Takashi Seto, Tatsuki Functional Analysis Metric Geometry Primary 26A42, Secondary 28A80 We introduce a generalization of the Young integration on self-similar sets defined in a closed interval and give a sufficient condition of its integrability. We also prove integration by substitution, integration by parts and term-by-term integration and give examples of the properties. |
| title | A Young-type integration on self-similar sets in intervals |
| topic | Functional Analysis Metric Geometry Primary 26A42, Secondary 28A80 |
| url | https://arxiv.org/abs/2408.15468 |