{"title":"大变指数Lebesgue空间中的遍历定理","authors":"C. Unal","doi":"10.36753/mathenot.683046","DOIUrl":null,"url":null,"abstract":"We consider several fundamental properties of grand variable exponent Lebesgue spaces. Moreover, we discuss Ergodic theorems in these spaces whenever the exponent is invariant under the transformation.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":" 5","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Ergodic Theorem in Grand Variable Exponent Lebesgue Spaces\",\"authors\":\"C. Unal\",\"doi\":\"10.36753/mathenot.683046\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider several fundamental properties of grand variable exponent Lebesgue spaces. Moreover, we discuss Ergodic theorems in these spaces whenever the exponent is invariant under the transformation.\",\"PeriodicalId\":127589,\"journal\":{\"name\":\"Mathematical Sciences and Applications E-Notes\",\"volume\":\" 5\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-09-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Sciences and Applications E-Notes\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.36753/mathenot.683046\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Sciences and Applications E-Notes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36753/mathenot.683046","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Ergodic Theorem in Grand Variable Exponent Lebesgue Spaces
We consider several fundamental properties of grand variable exponent Lebesgue spaces. Moreover, we discuss Ergodic theorems in these spaces whenever the exponent is invariant under the transformation.