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

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arxiv 2408.15468 v2 pith:USBXQ2IH submitted 2024-08-28 math.FA math.MG

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

Takashi Maruyama , Tatsuki Seto This is my paper
classification math.FA math.MG
keywords integrationgiveself-similarsetsclosedconditiondefinedexamples
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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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