{"title":"过度收缩的因素","authors":"M. Bhattacharjee, B. K. Das","doi":"10.7900/jot.2019nov02.2273","DOIUrl":null,"url":null,"abstract":"In this article, we study a class of contractive factors of\\break m-hypercontractions for m∈N. We find a characterization of such factors and it is achieved by finding explicit dilations of these factors on certain weighted Bergman spaces. This is a generalization of the work done by {B.K. Das, S. Sarkar, J. Sarkar}, Factorization of contraction, \\textit{Adv. in Math.} \\textbf{322}(2017), 186--200.","PeriodicalId":50104,"journal":{"name":"Journal of Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2019-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Factors of hypercontractions\",\"authors\":\"M. Bhattacharjee, B. K. Das\",\"doi\":\"10.7900/jot.2019nov02.2273\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we study a class of contractive factors of\\\\break m-hypercontractions for m∈N. We find a characterization of such factors and it is achieved by finding explicit dilations of these factors on certain weighted Bergman spaces. This is a generalization of the work done by {B.K. Das, S. Sarkar, J. Sarkar}, Factorization of contraction, \\\\textit{Adv. in Math.} \\\\textbf{322}(2017), 186--200.\",\"PeriodicalId\":50104,\"journal\":{\"name\":\"Journal of Operator Theory\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2019-08-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Operator Theory\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7900/jot.2019nov02.2273\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Operator Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7900/jot.2019nov02.2273","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
In this article, we study a class of contractive factors of\break m-hypercontractions for m∈N. We find a characterization of such factors and it is achieved by finding explicit dilations of these factors on certain weighted Bergman spaces. This is a generalization of the work done by {B.K. Das, S. Sarkar, J. Sarkar}, Factorization of contraction, \textit{Adv. in Math.} \textbf{322}(2017), 186--200.
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The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.
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