{"title":"Dirichlet-Morrey型空间与Volterra积分算子","authors":"Xiangling Zhu, Lian Hu, Dan Qu","doi":"10.23952/jnva.5.2021.3.10","DOIUrl":null,"url":null,"abstract":"A family of Dirichlet-Morrey type space D p,λ p−1 is introduced in this paper. For any positive Borel measure μ , the boundedness and compactness of the identity operator Id from D p,λ p−1 to tent spaces T p s (μ) are studied. As an application, the boundedness of the Volttera integral operators Tg and Ig, and the multiplication operator Mg from D p,λ p−1 to the general function space F(p, p− 1−λ ,s) are studied. The essential norm of Tg and Ig are also investigated.","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":null,"pages":null},"PeriodicalIF":2.5000,"publicationDate":"2022-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Dirichlet-Morrey type spaces and Volterra integral operators\",\"authors\":\"Xiangling Zhu, Lian Hu, Dan Qu\",\"doi\":\"10.23952/jnva.5.2021.3.10\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A family of Dirichlet-Morrey type space D p,λ p−1 is introduced in this paper. For any positive Borel measure μ , the boundedness and compactness of the identity operator Id from D p,λ p−1 to tent spaces T p s (μ) are studied. As an application, the boundedness of the Volttera integral operators Tg and Ig, and the multiplication operator Mg from D p,λ p−1 to the general function space F(p, p− 1−λ ,s) are studied. The essential norm of Tg and Ig are also investigated.\",\"PeriodicalId\":48488,\"journal\":{\"name\":\"Journal of Nonlinear and Variational Analysis\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2022-10-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Nonlinear and Variational Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.23952/jnva.5.2021.3.10\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nonlinear and Variational Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.23952/jnva.5.2021.3.10","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Dirichlet-Morrey type spaces and Volterra integral operators
A family of Dirichlet-Morrey type space D p,λ p−1 is introduced in this paper. For any positive Borel measure μ , the boundedness and compactness of the identity operator Id from D p,λ p−1 to tent spaces T p s (μ) are studied. As an application, the boundedness of the Volttera integral operators Tg and Ig, and the multiplication operator Mg from D p,λ p−1 to the general function space F(p, p− 1−λ ,s) are studied. The essential norm of Tg and Ig are also investigated.
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