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

Authors :
Maruyama, Takashi
Seto, Tatsuki
Publication Year :
2024

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.<br />Comment: 24 pages

Subjects

Subjects :
Mathematics - Functional Analysis
Mathematics - Metric Geometry
Primary 26A42, Secondary 28A80

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2408.15468
Document Type :
Working Paper

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