{"title":"广义加权Lebesgue空间中指数扰动系统的基","authors":"S. Sadigova, A. Guliyeva","doi":"10.46793/kgjmat2203.477s","DOIUrl":null,"url":null,"abstract":"The weighted Lebesgue and Hardy spaces with a general weight are considered. Basicity of a part of exponential system is proved in Hardy classes, where the weight satisfies the Muckenhoupt condition. Using these results the basicity of the perturbed system of exponents in the weighted Lebesgue space is studied. Some special cases are considered.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Bases of the Perturbed System of Exponents in Weighted Lebesgue Space with a General Weight\",\"authors\":\"S. Sadigova, A. Guliyeva\",\"doi\":\"10.46793/kgjmat2203.477s\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The weighted Lebesgue and Hardy spaces with a general weight are considered. Basicity of a part of exponential system is proved in Hardy classes, where the weight satisfies the Muckenhoupt condition. Using these results the basicity of the perturbed system of exponents in the weighted Lebesgue space is studied. Some special cases are considered.\",\"PeriodicalId\":44902,\"journal\":{\"name\":\"Kragujevac Journal of Mathematics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2022-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Kragujevac Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46793/kgjmat2203.477s\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kragujevac Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46793/kgjmat2203.477s","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Bases of the Perturbed System of Exponents in Weighted Lebesgue Space with a General Weight
The weighted Lebesgue and Hardy spaces with a general weight are considered. Basicity of a part of exponential system is proved in Hardy classes, where the weight satisfies the Muckenhoupt condition. Using these results the basicity of the perturbed system of exponents in the weighted Lebesgue space is studied. Some special cases are considered.