{"title":"Besov型空间上的Kontorovich-Lebedev小波变换","authors":"Ashish Pathak, Shrish Pandey","doi":"10.1080/10652469.2023.2177846","DOIUrl":null,"url":null,"abstract":"In the present paper, we define Besov type spaces associated with the Kontorovich–Lebedev transform. We widen the concept of continuous Kontorovich–Lebedev wavelet transform on space and derive continuity of Kontorovich–Lebedev wavelet transform on Besov type spaces and lastly characterize the Besov Kontorovich–Lebedev space by using Kontorovich–Lebedev wavelet coefficients.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"34 1","pages":"659 - 674"},"PeriodicalIF":0.7000,"publicationDate":"2023-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Kontorovich–Lebedev wavelet transform on Besov type spaces\",\"authors\":\"Ashish Pathak, Shrish Pandey\",\"doi\":\"10.1080/10652469.2023.2177846\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present paper, we define Besov type spaces associated with the Kontorovich–Lebedev transform. We widen the concept of continuous Kontorovich–Lebedev wavelet transform on space and derive continuity of Kontorovich–Lebedev wavelet transform on Besov type spaces and lastly characterize the Besov Kontorovich–Lebedev space by using Kontorovich–Lebedev wavelet coefficients.\",\"PeriodicalId\":54972,\"journal\":{\"name\":\"Integral Transforms and Special Functions\",\"volume\":\"34 1\",\"pages\":\"659 - 674\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2023-02-20\",\"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/10.1080/10652469.2023.2177846\",\"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/10.1080/10652469.2023.2177846","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Kontorovich–Lebedev wavelet transform on Besov type spaces
In the present paper, we define Besov type spaces associated with the Kontorovich–Lebedev transform. We widen the concept of continuous Kontorovich–Lebedev wavelet transform on space and derive continuity of Kontorovich–Lebedev wavelet transform on Besov type spaces and lastly characterize the Besov Kontorovich–Lebedev space by using Kontorovich–Lebedev wavelet coefficients.
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.
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