加权解析空间上的复合算子

Pub Date : 2023-04-17 DOI:10.4153/s0008439523000292

Marouane Bourass, I. Marrhich, F. Mkadmi

{"title":"加权解析空间上的复合算子","authors":"Marouane Bourass, I. Marrhich, F. Mkadmi","doi":"10.4153/s0008439523000292","DOIUrl":null,"url":null,"abstract":"Abstract We characterize the membership in the Schatten ideals \n$\\mathcal {S}_p$\n , \n$0<p<\\infty $\n , of composition operators acting on weighted Dirichlet spaces. Our results concern a large class of weights. In particular, we examine the case of perturbed superharmonic weights. Characterization of composition operators acting on weighted Bergman spaces to be in \n$\\mathcal {S}_p$\n is also given.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Composition operators on weighted analytic spaces\",\"authors\":\"Marouane Bourass, I. Marrhich, F. Mkadmi\",\"doi\":\"10.4153/s0008439523000292\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract We characterize the membership in the Schatten ideals \\n$\\\\mathcal {S}_p$\\n , \\n$0<p<\\\\infty $\\n , of composition operators acting on weighted Dirichlet spaces. Our results concern a large class of weights. In particular, we examine the case of perturbed superharmonic weights. Characterization of composition operators acting on weighted Bergman spaces to be in \\n$\\\\mathcal {S}_p$\\n is also given.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-04-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4153/s0008439523000292\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4153/s0008439523000292","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}