{"title":"梅林变换的勒贝格可积分性的充分条件","authors":"Othman Tyr","doi":"10.1080/10652469.2024.2351382","DOIUrl":null,"url":null,"abstract":"This work is devoted to the study of the integrability of Mellin transforms under some sufficient and necessary conditions in the space Xcp of Lebesgue measurable functions f on R+=(0,+∞) such that...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"28 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Sufficient conditions for the Lebesgue integrability of Mellin transforms\",\"authors\":\"Othman Tyr\",\"doi\":\"10.1080/10652469.2024.2351382\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This work is devoted to the study of the integrability of Mellin transforms under some sufficient and necessary conditions in the space Xcp of Lebesgue measurable functions f on R+=(0,+∞) such that...\",\"PeriodicalId\":54972,\"journal\":{\"name\":\"Integral Transforms and Special Functions\",\"volume\":\"28 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2024-05-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Integral Transforms and Special Functions\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/10652469.2024.2351382\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Integral Transforms and Special Functions","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/10652469.2024.2351382","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
这项工作致力于研究在 R+=(0,+∞) 上的 Lebesgue 可测函数 f 的空间 Xcp 中,梅林变换在一些充分和必要条件下的可积分性,从而...
Sufficient conditions for the Lebesgue integrability of Mellin transforms
This work is devoted to the study of the integrability of Mellin transforms under some sufficient and necessary conditions in the space Xcp of Lebesgue measurable functions f on R+=(0,+∞) such that...
期刊介绍:
Integral Transforms and Special Functions belongs to the basic subjects of mathematical analysis, the theory of differential and integral equations, approximation theory, and to many other areas of pure and applied mathematics. Although centuries old, these subjects are under intense development, for use in pure and applied mathematics, physics, engineering and computer science. This stimulates continuous interest for researchers in these fields. The aim of Integral Transforms and Special Functions is to foster further growth by providing a means for the publication of important research on all aspects of the subjects.