A local inequality for Hankel operators on the sphere and its application

Quanlei Fang; Jingbo Xia

doi:10.1016/j.jfa.2013.10.003

A local inequality for Hankel operators on the sphere and its application

Quanlei Fang
, Jingbo Xia

Mathematics

City University of New York

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

7 Scopus citations

Abstract

Let H²(S) be the Hardy space on the unit sphere S in Cⁿ. We establish a local inequality for Hankel operators H_f=(1-P)M_f|H²(S). As an application of this local inequality, we characterize the membership of H_f in the Lorentz-like ideal Cp+, 2n<p<∞.

Original language	English
Pages (from-to)	876-930
Number of pages	55
Journal	Journal of Functional Analysis
Volume	266
Issue number	2
DOIs	https://doi.org/10.1016/j.jfa.2013.10.003
State	Published - Jan 15 2014

Keywords

Hankel operator
Local inequality
Norm ideal

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10.1016/j.jfa.2013.10.003

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title = "A local inequality for Hankel operators on the sphere and its application",

abstract = "Let H2(S) be the Hardy space on the unit sphere S in Cn. We establish a local inequality for Hankel operators Hf=(1-P)Mf|H2(S). As an application of this local inequality, we characterize the membership of Hf in the Lorentz-like ideal Cp+, 2n",

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T1 - A local inequality for Hankel operators on the sphere and its application

AU - Fang, Quanlei

AU - Xia, Jingbo

PY - 2014/1/15

Y1 - 2014/1/15

N2 - Let H2(S) be the Hardy space on the unit sphere S in Cn. We establish a local inequality for Hankel operators Hf=(1-P)Mf|H2(S). As an application of this local inequality, we characterize the membership of Hf in the Lorentz-like ideal Cp+, 2n

AB - Let H2(S) be the Hardy space on the unit sphere S in Cn. We establish a local inequality for Hankel operators Hf=(1-P)Mf|H2(S). As an application of this local inequality, we characterize the membership of Hf in the Lorentz-like ideal Cp+, 2n

KW - Hankel operator

KW - Local inequality

KW - Norm ideal

UR - https://www.scopus.com/pages/publications/84888287702

U2 - 10.1016/j.jfa.2013.10.003

DO - 10.1016/j.jfa.2013.10.003

M3 - Article

AN - SCOPUS:84888287702

SN - 0022-1236

VL - 266

SP - 876

EP - 930

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 2

ER -

A local inequality for Hankel operators on the sphere and its application

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Keywords

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