Journal of the Ramanujan Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Essentially Normal Hilbert Modules and K-Homology II:Quasi-homogeneous Hilbert Modules Over the Two Dimensional Unit Ball


Affiliations
1 Department of Mathematics, Fudan University, Shanghai, 200433, China
     

   Subscribe/Renew Journal


In this paper, we mainly consider quasi-homogeneous submodules of U-invariant analytic Hilbert modules over the two dimensional unit ball. It is shown that every quasi-homogeneous submodule M is essentially normal. This paper also shows that each quasi-homogeneous submodule of the Bergman module L2α(B2) is p-essentially normal for p > 2, and the same result also is valid for the Hardy module. The paper is associated with K-homology invariants arising from quasi-homogeneous quotient modules.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 230

PDF Views: 0




  • Essentially Normal Hilbert Modules and K-Homology II:Quasi-homogeneous Hilbert Modules Over the Two Dimensional Unit Ball

Abstract Views: 230  |  PDF Views: 0

Authors

Kunyu Guo
Department of Mathematics, Fudan University, Shanghai, 200433, China
Kai Wang
Department of Mathematics, Fudan University, Shanghai, 200433, China

Abstract


In this paper, we mainly consider quasi-homogeneous submodules of U-invariant analytic Hilbert modules over the two dimensional unit ball. It is shown that every quasi-homogeneous submodule M is essentially normal. This paper also shows that each quasi-homogeneous submodule of the Bergman module L2α(B2) is p-essentially normal for p > 2, and the same result also is valid for the Hardy module. The paper is associated with K-homology invariants arising from quasi-homogeneous quotient modules.