Hilbert-Schmidtness of Submodules in H^(2)(D^(2))Containing(z)-β(w)

作     者：Chao Zu Yixin Yang Yufeng Lu 

作者机构：Department of Mathematical SciencesDalian University of TechnologyDalianLiaoning 116024P.R.China 

出 版 物：《Communications in Mathematical Research》 (数学研究通讯（英文版）)

年 卷 期：2023年第39卷第3期

页      面：331-341页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Nature Science Foundation of China (Grant Nos.12031002,11971086) supported by the Dalian High-Level Talent Innovation Project (Grant No.2020RD09) 

主　　题：Hardy space over the bidisk Hilbert-Schmidt submodule fringe operator Fredholm index 

摘      要：A closed subspace M of the Hardy space H^(2)(D^(2))over the bidisk is called submodule if it is invariant under multiplication by coordinate functions z and *** every finitely generated submodule is Hilbert-Schmidt is an unsolved *** paper proves that every finitely generated submodule M containing(z)-Φ(w)is Hilbert-Schmidt,where 0(z),p(w)are two finite Blaschke products.