{"title":"A Young type integration on self-similar sets in intervals","authors":"Takashi Maruyama, Tatsuki Seto","doi":"arxiv-2408.15468","DOIUrl":null,"url":null,"abstract":"We introduce a generalization of the Young integration on self-similar sets\ndefined in a closed interval and give a sufficient condition of its\nintegrability. We also prove integration by substitution, integration by parts\nand term-by-term integration and give examples of the properties.","PeriodicalId":501444,"journal":{"name":"arXiv - MATH - Metric Geometry","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Metric Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.15468","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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.