{"title":"Differences of Products of Volterra Type Operators and Composition Operators Between Fock Spaces","authors":"Pham The Hao, Pham Trong Tien","doi":"10.1007/s40306-025-00563-x","DOIUrl":null,"url":null,"abstract":"<div><p>We characterize boundedness and compactness of the differences of products of Volterra integral operators <span>\\(V_g\\)</span> (Volterra companion operators <span>\\(J_g\\)</span>) and composition operators <span>\\(C_{\\varphi }\\)</span> between different Fock spaces <span>\\(\\mathcal {F}^p(\\mathbb {C})\\)</span> and <span>\\(\\mathcal {F}^q(\\mathbb {C})\\)</span> for every <span>\\(p, q \\in (0, \\infty ]\\)</span>.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"50 1","pages":"123 - 141"},"PeriodicalIF":0.3000,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Vietnamica","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s40306-025-00563-x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We characterize boundedness and compactness of the differences of products of Volterra integral operators \(V_g\) (Volterra companion operators \(J_g\)) and composition operators \(C_{\varphi }\) between different Fock spaces \(\mathcal {F}^p(\mathbb {C})\) and \(\mathcal {F}^q(\mathbb {C})\) for every \(p, q \in (0, \infty ]\).
期刊介绍:
Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.