{"title":"具有非齐次核的hilbert型积分算子","authors":"Y. Bi-cheng","doi":"10.3724/SP.J.1160.2012.00084","DOIUrl":null,"url":null,"abstract":"In this paper,by using the way of weight function and the technic of real analysis and functional analysis,a Hilbert-type integral operator T with the none-homogeneous kernel is defined, and the norm is obtained.As applications,two equivalent inequalities related with the norm are given,the reverse forms and some particular cases with the best constant factors are considered.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"84"},"PeriodicalIF":0.0000,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On a Hilbert-Type Integral Operator with the None-Homogeneous Kernel\",\"authors\":\"Y. Bi-cheng\",\"doi\":\"10.3724/SP.J.1160.2012.00084\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper,by using the way of weight function and the technic of real analysis and functional analysis,a Hilbert-type integral operator T with the none-homogeneous kernel is defined, and the norm is obtained.As applications,two equivalent inequalities related with the norm are given,the reverse forms and some particular cases with the best constant factors are considered.\",\"PeriodicalId\":62008,\"journal\":{\"name\":\"应用泛函分析学报\",\"volume\":\"14 1\",\"pages\":\"84\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"应用泛函分析学报\",\"FirstCategoryId\":\"1089\",\"ListUrlMain\":\"https://doi.org/10.3724/SP.J.1160.2012.00084\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"应用泛函分析学报","FirstCategoryId":"1089","ListUrlMain":"https://doi.org/10.3724/SP.J.1160.2012.00084","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On a Hilbert-Type Integral Operator with the None-Homogeneous Kernel
In this paper,by using the way of weight function and the technic of real analysis and functional analysis,a Hilbert-type integral operator T with the none-homogeneous kernel is defined, and the norm is obtained.As applications,two equivalent inequalities related with the norm are given,the reverse forms and some particular cases with the best constant factors are considered.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
