Boundedness and compactness of Hankel operators on the sphere

Jingbo Xia

doi:10.1016/j.jfa.2008.03.017

Boundedness and compactness of Hankel operators on the sphere

Jingbo Xia

Mathematics

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

10 Scopus citations

Abstract

We consider Hankel operators on the Hardy space of the unit sphere in Cⁿ. We show that a large amount of information about the function f - P f can be recovered from the Hankel operator H_f. For example, if H_f is compact, then the function f - P f is necessarily in VMO.

Original language	English
Pages (from-to)	25-45
Number of pages	21
Journal	Journal of Functional Analysis
Volume	255
Issue number	1
DOIs	https://doi.org/10.1016/j.jfa.2008.03.017
State	Published - Jul 1 2008

Keywords

Hankel operator
Mean oscillation

Access to Document

10.1016/j.jfa.2008.03.017

Cite this

@article{1f336a4d3a344020ab0ac435fc89ec11,

title = "Boundedness and compactness of Hankel operators on the sphere",

abstract = "We consider Hankel operators on the Hardy space of the unit sphere in Cn. We show that a large amount of information about the function f - P f can be recovered from the Hankel operator Hf. For example, if Hf is compact, then the function f - P f is necessarily in VMO.",

keywords = "Hankel operator, Mean oscillation",

author = "Jingbo Xia",

year = "2008",

month = jul,

day = "1",

doi = "10.1016/j.jfa.2008.03.017",

language = "English",

volume = "255",

pages = "25--45",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Boundedness and compactness of Hankel operators on the sphere

AU - Xia, Jingbo

PY - 2008/7/1

Y1 - 2008/7/1

N2 - We consider Hankel operators on the Hardy space of the unit sphere in Cn. We show that a large amount of information about the function f - P f can be recovered from the Hankel operator Hf. For example, if Hf is compact, then the function f - P f is necessarily in VMO.

AB - We consider Hankel operators on the Hardy space of the unit sphere in Cn. We show that a large amount of information about the function f - P f can be recovered from the Hankel operator Hf. For example, if Hf is compact, then the function f - P f is necessarily in VMO.

KW - Hankel operator

KW - Mean oscillation

UR - https://www.scopus.com/pages/publications/44149115167

U2 - 10.1016/j.jfa.2008.03.017

DO - 10.1016/j.jfa.2008.03.017

M3 - Article

AN - SCOPUS:44149115167

SN - 0022-1236

VL - 255

SP - 25

EP - 45

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 1

ER -

Boundedness and compactness of Hankel operators on the sphere

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this