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arXiv · 2408.15468

A Young-type integration on self-similar sets in intervals

Takashi Maruyama·Tatsuki Seto
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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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Takashi Maruyama, Tatsuki Seto. 2024-08-28. A Young-type integration on self-similar sets in intervals. https://arxiv.org/abs/2408.15468

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