Hankel Operators on Weighted Bergman Spaces and Norm Ideals

Quanlei Fang; Jingbo Xia

doi:10.1007/s11785-017-0710-4

Hankel Operators on Weighted Bergman Spaces and Norm Ideals

Quanlei Fang
, Jingbo Xia

Mathematics

City University of New York

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

13 Scopus citations

Abstract

Consider Hankel operators H_f on the weighted Bergman space La2(B,dvα). In this paper we characterize the membership of (Hf∗Hf)s/2=|Hf|s in the norm ideal C_Φ, where 0 OpenSPiltSPi s≤ 1 and the symmetric gauge function Φ is allowed to be arbitrary.

Original language	English
Pages (from-to)	629-668
Number of pages	40
Journal	Complex Analysis and Operator Theory
Volume	12
Issue number	3
DOIs	https://doi.org/10.1007/s11785-017-0710-4
State	Published - Mar 1 2018

Keywords

Hankel operator
Norm ideal
Weighted Bergman space

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10.1007/s11785-017-0710-4

Cite this

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title = "Hankel Operators on Weighted Bergman Spaces and Norm Ideals",

abstract = "Consider Hankel operators Hf on the weighted Bergman space La2(B,dvα). In this paper we characterize the membership of (Hf∗Hf)s/2=|Hf|s in the norm ideal CΦ, where 0 OpenSPiltSPi s≤ 1 and the symmetric gauge function Φ is allowed to be arbitrary.",

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author = "Quanlei Fang and Jingbo Xia",

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T1 - Hankel Operators on Weighted Bergman Spaces and Norm Ideals

AU - Fang, Quanlei

AU - Xia, Jingbo

PY - 2018/3/1

Y1 - 2018/3/1

N2 - Consider Hankel operators Hf on the weighted Bergman space La2(B,dvα). In this paper we characterize the membership of (Hf∗Hf)s/2=|Hf|s in the norm ideal CΦ, where 0 OpenSPiltSPi s≤ 1 and the symmetric gauge function Φ is allowed to be arbitrary.

AB - Consider Hankel operators Hf on the weighted Bergman space La2(B,dvα). In this paper we characterize the membership of (Hf∗Hf)s/2=|Hf|s in the norm ideal CΦ, where 0 OpenSPiltSPi s≤ 1 and the symmetric gauge function Φ is allowed to be arbitrary.

KW - Hankel operator

KW - Norm ideal

KW - Weighted Bergman space

UR - https://www.scopus.com/pages/publications/85026449502

U2 - 10.1007/s11785-017-0710-4

DO - 10.1007/s11785-017-0710-4

M3 - Article

AN - SCOPUS:85026449502

SN - 1661-8254

VL - 12

SP - 629

EP - 668

JO - Complex Analysis and Operator Theory

JF - Complex Analysis and Operator Theory

IS - 3

ER -

Hankel Operators on Weighted Bergman Spaces and Norm Ideals

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Keywords

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