拉盖尔-贝塞尔变换和广义 Lipschitz 类

Q4 Mathematics

Tatra Mountains Mathematical Publications Pub Date : 2023-11-01 DOI:10.2478/tmmp-2023-0029

L. Rakhimi, Abdelmajid Khadari, R. Daher

{"title":"拉盖尔-贝塞尔变换和广义 Lipschitz 类","authors":"L. Rakhimi, Abdelmajid Khadari, R. Daher","doi":"10.2478/tmmp-2023-0029","DOIUrl":null,"url":null,"abstract":"Abstract The aim of this paper is to give necessary and sufficient conditions in terms of the Fourier Laguerre-Bessel transform 𝒲LBf of the function f to ensure that f belongs to the generalized Lipschitz classes Hαk (X) and hkα (X), where X =[0, +∞) × [0, +∞).","PeriodicalId":38690,"journal":{"name":"Tatra Mountains Mathematical Publications","volume":"4 1","pages":"155 - 168"},"PeriodicalIF":0.0000,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Laguerre-Bessel Transform and Generalized Lipschitz Classes\",\"authors\":\"L. Rakhimi, Abdelmajid Khadari, R. Daher\",\"doi\":\"10.2478/tmmp-2023-0029\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract The aim of this paper is to give necessary and sufficient conditions in terms of the Fourier Laguerre-Bessel transform 𝒲LBf of the function f to ensure that f belongs to the generalized Lipschitz classes Hαk (X) and hkα (X), where X =[0, +∞) × [0, +∞).\",\"PeriodicalId\":38690,\"journal\":{\"name\":\"Tatra Mountains Mathematical Publications\",\"volume\":\"4 1\",\"pages\":\"155 - 168\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Tatra Mountains Mathematical Publications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/tmmp-2023-0029\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tatra Mountains Mathematical Publications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/tmmp-2023-0029","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 0

摘要

摘要本文旨在给出函数 f 的傅立叶拉盖尔-贝塞尔变换 𝒲LBf 的必要条件和充分条件，以确保 f 属于广义的 Lipschitz 类 Hαk (X) 和 hkα (X)，其中 X =[0, +∞) × [0, +∞) 。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Laguerre-Bessel Transform and Generalized Lipschitz Classes

Abstract The aim of this paper is to give necessary and sufficient conditions in terms of the Fourier Laguerre-Bessel transform 𝒲LBf of the function f to ensure that f belongs to the generalized Lipschitz classes Hαk (X) and hkα (X), where X =[0, +∞) × [0, +∞).

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Tatra Mountains Mathematical Publications Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量