{"title":"多盘上的第k阶倾斜汉克尔算子","authors":"M. P. Singh, Oinam Nilbir Singh","doi":"10.1063/5.0137024","DOIUrl":null,"url":null,"abstract":"In this paper, we initiate the notion of k^{th} order slant Hankel operators on L^2(T^n) for k greater than or equal to 2 and n greater than or equal to 1 where T^n denotes the n-torus. We give the necessary and sufficient condition for a bounded operator on L^2(T^n) to be a k^{th} order slant Hankel and discuss their commutative, compactness, hyponormal and isometric property.","PeriodicalId":210618,"journal":{"name":"5th INTERNATIONAL CONFERENCE ON CURRENT SCENARIO IN PURE AND APPLIED MATHEMATICS (ICCSPAM-2022)","volume":"103 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"kth order slant Hankel operators on the polydisk\",\"authors\":\"M. P. Singh, Oinam Nilbir Singh\",\"doi\":\"10.1063/5.0137024\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we initiate the notion of k^{th} order slant Hankel operators on L^2(T^n) for k greater than or equal to 2 and n greater than or equal to 1 where T^n denotes the n-torus. We give the necessary and sufficient condition for a bounded operator on L^2(T^n) to be a k^{th} order slant Hankel and discuss their commutative, compactness, hyponormal and isometric property.\",\"PeriodicalId\":210618,\"journal\":{\"name\":\"5th INTERNATIONAL CONFERENCE ON CURRENT SCENARIO IN PURE AND APPLIED MATHEMATICS (ICCSPAM-2022)\",\"volume\":\"103 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-02-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"5th INTERNATIONAL CONFERENCE ON CURRENT SCENARIO IN PURE AND APPLIED MATHEMATICS (ICCSPAM-2022)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1063/5.0137024\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"5th INTERNATIONAL CONFERENCE ON CURRENT SCENARIO IN PURE AND APPLIED MATHEMATICS (ICCSPAM-2022)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1063/5.0137024","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, we initiate the notion of k^{th} order slant Hankel operators on L^2(T^n) for k greater than or equal to 2 and n greater than or equal to 1 where T^n denotes the n-torus. We give the necessary and sufficient condition for a bounded operator on L^2(T^n) to be a k^{th} order slant Hankel and discuss their commutative, compactness, hyponormal and isometric property.