Spectral theory of multiplication operators on Hardy-Sobolev spaces

被引：12
|
作者：
Cao, Guangfu [1 ]
He, Li [2 ]
Zhu, Kehe [3 ,4 ]
机构：
[1] South China Agr Univ, Dept Math, Guangzhou 510640, Guangdong, Peoples R China
[2] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China
[3] SUNY Albany, Dept Math & Stat, Albany, NY 12222 USA
[4] Shantou Univ, Dept Math, Shantou, Guangdong, Peoples R China
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2018年 / 275卷 / 05期
关键词：
Hardy-Sobolev space; Multipliers; Spectrum; Essential spectrum; CARLESON MEASURES; EXCEPTIONAL SETS; MULTIPLIERS;
D O I：
10.1016/j.jfa.2018.05.017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a pointwise multiplier phi of the Hardy-Sobolev space H-beta(2) on the open unit ball B-n in C-n, we study spectral properties of the multiplication operator M-phi : H-beta(2) -> H-beta(2) In particular, we compute the spectrum and essential spectrum of M-phi and develop the Fredholm theory for these operators. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：1259 / 1279
页数：21
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