Essential normality of quasi-homogeneous quotient modules over the polydisc

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2019,（4）
• 页码范围: 663-678
• 页数: 16页
• 语种: 英文

摘要

In this paper,we characterize the essential normality of quasi-homogeneous quotient Hardy modules over the polydisc by giving a complete criterion in terms of partially maximal ideals.Then we generalize this result to the weighted Bergman modules.