On the membership of Hankel operators in a class of Lorentz ideals

Quanlei Fang; Jingbo Xia

doi:10.1016/j.jfa.2014.05.010

On the membership of Hankel operators in a class of Lorentz ideals

Quanlei Fang
, Jingbo Xia

Mathematics

City University of New York

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

5 Scopus citations

Abstract

Recall that the Lorentz ideal Cp- is the collection of operators A satisfying the condition {norm of matrix}A{norm of matrix}p-=∑j=1∞j-(p-1)/psj(A)<∞ Consider Hankel operators H_f:H²(S)→L²(S, dσ)⊖H²(S), where H²(S) is the Hardy space on the unit sphere S in Cⁿ. In this paper we characterize the membership Hf∈Cp-, 2n<p<∞.

Original language	English
Pages (from-to)	1137-1187
Number of pages	51
Journal	Journal of Functional Analysis
Volume	267
Issue number	4
DOIs	https://doi.org/10.1016/j.jfa.2014.05.010
State	Published - Aug 15 2014

Keywords

Hankel operator
Lorentz ideal

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10.1016/j.jfa.2014.05.010

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abstract = "Recall that the Lorentz ideal Cp- is the collection of operators A satisfying the condition \{norm of matrix\}A\{norm of matrix\}p-=∑j=1∞j-(p-1)/psj(A)<∞ Consider Hankel operators Hf:H2(S)→L2(S, dσ)⊖H2(S), where H2(S) is the Hardy space on the unit sphere S in Cn. In this paper we characterize the membership Hf∈Cp-, 2n",

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AU - Xia, Jingbo

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AB - Recall that the Lorentz ideal Cp- is the collection of operators A satisfying the condition {norm of matrix}A{norm of matrix}p-=∑j=1∞j-(p-1)/psj(A)<∞ Consider Hankel operators Hf:H2(S)→L2(S, dσ)⊖H2(S), where H2(S) is the Hardy space on the unit sphere S in Cn. In this paper we characterize the membership Hf∈Cp-, 2n

KW - Hankel operator

KW - Lorentz ideal

UR - https://www.scopus.com/pages/publications/84902540189

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DO - 10.1016/j.jfa.2014.05.010

M3 - Article

AN - SCOPUS:84902540189

SN - 0022-1236

VL - 267

SP - 1137

EP - 1187

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 4

ER -

On the membership of Hankel operators in a class of Lorentz ideals

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Keywords

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