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

Yi Wang; Jingbo Xia

doi:10.7900/jot.2018oct09.2224

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

Yi Wang
, Jingbo Xia

Mathematics

SUNY Buffalo

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Let Ω be a bounded, strongly pseudo-convex domain with smooth boundary in ⁿ. 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.

Original language	English
Pages (from-to)	333-352
Number of pages	20
Journal	Journal of Operator Theory
Volume	83
Issue number	2
DOIs	https://doi.org/10.7900/jot.2018oct09.2224
State	Published - Mar 1 2020

Keywords

Essential normality
Hardy module
Strongly pseudo-convex domain
Submodule

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10.7900/jot.2018oct09.2224

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title = "Essential normality of principal submodules of the hardy module on a strongly pseudo-convex domain",

abstract = "Let Ω be a bounded, strongly pseudo-convex domain with smooth boundary in n. 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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author = "Yi Wang and Jingbo Xia",

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AU - Wang, Yi

AU - Xia, Jingbo

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Y1 - 2020/3/1

N2 - Let Ω be a bounded, strongly pseudo-convex domain with smooth boundary in n. 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.

AB - Let Ω be a bounded, strongly pseudo-convex domain with smooth boundary in n. 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.

KW - Essential normality

KW - Hardy module

KW - Strongly pseudo-convex domain

KW - Submodule

UR - https://www.scopus.com/pages/publications/85088272083

U2 - 10.7900/jot.2018oct09.2224

DO - 10.7900/jot.2018oct09.2224

M3 - Article

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VL - 83

SP - 333

EP - 352

JO - Journal of Operator Theory

JF - Journal of Operator Theory

IS - 2

ER -

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

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Keywords

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