A Young-type integration on self-similar sets in intervals
Functional Analysis
2024-10-17 v2 Metric Geometry
Abstract
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.
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Cite
@article{arxiv.2408.15468,
title = {A Young-type integration on self-similar sets in intervals},
author = {Takashi Maruyama and Tatsuki Seto},
journal= {arXiv preprint arXiv:2408.15468},
year = {2024}
}
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24 pages