{"title":"The Generalized Grand Wiener Amalgam Spaces and the boundedness of Hardy-Littlewood maximal operators","authors":"A. Turan Gürkanlı","doi":"arxiv-2408.02406","DOIUrl":null,"url":null,"abstract":"Let $1<p,q<\\infty$ and let $a(x), b(x)$ be weight functions. In the present\npaper we define and investigate some basic properties of generalized grand\nWiener amalgam space $W( L^{p),\\theta_1}(\\mathbb R^{n})),\nL^{q),\\theta_2}(\\mathbb R^{n})),$ where generalized grand Lebesgue spaces\n$L_{a}^{p)}(\\mathbb R^{n})$ and $L_{b}^{q)}(\\mathbb R^{n}),$ are local and\nglobal components, respectively. Next we study embeddings for these spaces,\nalso we give some more properties of these spaces. At the end of this work, we\ndiscuss boundedness and unboundedness of the Hardy-Littlewood maximal operator\nbetween some generalized grand Wiener amalgam spaces.","PeriodicalId":501036,"journal":{"name":"arXiv - MATH - Functional Analysis","volume":"8 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Functional Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.02406","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
