Essential normality of polynomial-generated submodules: Hardy space and beyond

Quanlei Fang; Jingbo Xia

doi:10.1016/j.jfa.2013.08.023

Essential normality of polynomial-generated submodules: Hardy space and beyond

Quanlei Fang
, Jingbo Xia

Mathematics

City University of New York

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

15 Scopus citations

Abstract

Recently, Douglas and Wang proved that for each polynomial q, the submodule [. q] of the Bergman module generated by q is essentially normal [11]. Using improved techniques, we show that the Hardy space analogue of this result holds, and more.

Original language	English
Pages (from-to)	2991-3008
Number of pages	18
Journal	Journal of Functional Analysis
Volume	265
Issue number	12
DOIs	https://doi.org/10.1016/j.jfa.2013.08.023
State	Published - Dec 15 2013

Keywords

Essential normality
Polynomial
Submodule

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10.1016/j.jfa.2013.08.023

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title = "Essential normality of polynomial-generated submodules: Hardy space and beyond",

abstract = "Recently, Douglas and Wang proved that for each polynomial q, the submodule [. q] of the Bergman module generated by q is essentially normal [11]. Using improved techniques, we show that the Hardy space analogue of this result holds, and more.",

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AU - Xia, Jingbo

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AB - Recently, Douglas and Wang proved that for each polynomial q, the submodule [. q] of the Bergman module generated by q is essentially normal [11]. Using improved techniques, we show that the Hardy space analogue of this result holds, and more.

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KW - Submodule

UR - https://www.scopus.com/pages/publications/84884980366

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DO - 10.1016/j.jfa.2013.08.023

M3 - Article

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SP - 2991

EP - 3008

JO - Journal of Functional Analysis

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IS - 12

ER -

Essential normality of polynomial-generated submodules: Hardy space and beyond

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Keywords

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