Journal of the Ramanujan Mathematical Society

Kunyu Guo ¹, Kai Wang ¹

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

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 L²_α(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.

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