Bergman commutators and norm ideals

Jingbo Xia

doi:10.1016/j.jfa.2012.05.012

Bergman commutators and norm ideals

Jingbo Xia

Mathematics

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

11 Scopus citations

Abstract

Let P be the orthogonal projection from L2(B,dv) onto the Bergman space La2(B,dv) of the unit ball in C ⁿ. In this paper we characterize the membership of commutators of the form [M _f, P] in the norm ideal CΦ, where the symmetric gauge function Φ is allowed to be arbitrary.

Original language	English
Pages (from-to)	988-1039
Number of pages	52
Journal	Journal of Functional Analysis
Volume	263
Issue number	4
DOIs	https://doi.org/10.1016/j.jfa.2012.05.012
State	Published - Aug 15 2012

Keywords

Bergman projection
Commutator
Norm ideal

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10.1016/j.jfa.2012.05.012

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title = "Bergman commutators and norm ideals",

abstract = "Let P be the orthogonal projection from L2(B,dv) onto the Bergman space La2(B,dv) of the unit ball in C n. In this paper we characterize the membership of commutators of the form [M f, P] in the norm ideal CΦ, where the symmetric gauge function Φ is allowed to be arbitrary.",

keywords = "Bergman projection, Commutator, Norm ideal",

author = "Jingbo Xia",

year = "2012",

month = aug,

day = "15",

doi = "10.1016/j.jfa.2012.05.012",

language = "English",

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TY - JOUR

T1 - Bergman commutators and norm ideals

AU - Xia, Jingbo

PY - 2012/8/15

Y1 - 2012/8/15

N2 - Let P be the orthogonal projection from L2(B,dv) onto the Bergman space La2(B,dv) of the unit ball in C n. In this paper we characterize the membership of commutators of the form [M f, P] in the norm ideal CΦ, where the symmetric gauge function Φ is allowed to be arbitrary.

AB - Let P be the orthogonal projection from L2(B,dv) onto the Bergman space La2(B,dv) of the unit ball in C n. In this paper we characterize the membership of commutators of the form [M f, P] in the norm ideal CΦ, where the symmetric gauge function Φ is allowed to be arbitrary.

KW - Bergman projection

KW - Commutator

KW - Norm ideal

UR - https://www.scopus.com/pages/publications/84861968672

U2 - 10.1016/j.jfa.2012.05.012

DO - 10.1016/j.jfa.2012.05.012

M3 - Article

AN - SCOPUS:84861968672

SN - 0022-1236

VL - 263

SP - 988

EP - 1039

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 4

ER -

Bergman commutators and norm ideals

Abstract

Keywords

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