强拟凸域上Hardy模主子模的本质正规性

IF 0.7 4区数学 Q2 MATHEMATICS Journal of Operator Theory Pub Date : 2020-03-15 DOI:10.7900/jot.2018oct09.2224

Yi Wang, Jingbo Xia

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引用次数: 1

摘要

设Ω是Cn中具有光滑边界的有界强伪凸域。假设h是定义在包含Ω的开集上的解析函数。我们证明了h生成的Hardy模H2（Ω）的主子模对于p>n是p-本质正规的。

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Essential normality of principal submodules of the Hardy module on a strongly pseudo-convex domain

Let Ω be a bounded, strongly pseudo-convex domain with smooth boundary in Cn. Suppose that h is an analytic function defined on an open set containing ¯¯¯¯Ω. We show that the principal submodule of the Hardy module H2(Ω) generated by h is p-essentially normal for p>n.

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来源期刊

Journal of Operator Theory 数学-数学

CiteScore

1.30

自引率

12.50%

发文量

审稿时长

12 months

期刊介绍： The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.

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