Toeplitz operators on Hardy-Sobolev spaces

被引：3
|
作者：
Cao, Guangfu [1 ]
He, Li [2 ]
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
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 479卷 / 02期
关键词：
Hardy-Sobolev space; Toeplitz operator; Fredholm operator; Trace class operator; Toeplitz algebra; FREDHOLM PROPERTIES; PRODUCTS; SYMBOLS;
D O I：
10.1016/j.jmaa.2019.07.048
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we construct compact Toeplitz operators and trace class Toeplitz operators with unbounded symbols on Hardy-Sobolev spaces. We also characterize the compactness of finite sums of products of two Toeplitz operators on these spaces. Then, we study the Fredholmness of the Toeplitz operators and calculate the essential norm of them. In addition, we consider the C*-algebra generated by Toeplitz operators. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：2165 / 2195
页数：31
相关论文
共 50 条
  • [1] COMPOSITION OPERATORS ON HARDY-SOBOLEV SPACES
    He, Li
    Cao, Guang Fu
    He, Zhong Hua
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2015, 46 (03): : 255 - 267
  • [2] Composition operators on Hardy-Sobolev spaces
    Li He
    Guang Fu Cao
    Zhong Hua He
    [J]. Indian Journal of Pure and Applied Mathematics, 2015, 46 : 255 - 267
  • [3] COMPACT TOEPLITZ OPERATORS PRODUCTS ON HARDY-SOBOLEV SPACES OVER THE UNIT POLYDISK
    He, Li
    Cao, Guangfu
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021, 51 (02) : 549 - 570
  • [4] Spectral theory of multiplication operators on Hardy-Sobolev spaces
    Cao, Guangfu
    He, Li
    Zhu, Kehe
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2018, 275 (05) : 1259 - 1279
  • [5] Hankel operators with pluriharmonic symbols on Hardy-Sobolev spaces
    Cao, Guangfu
    He, Li
    [J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2021, 66 (08) : 1333 - 1361
  • [6] COMPACTNESS OF HANKEL OPERATORS ON HARDY-SOBOLEV SPACES OF THE POLYDISK
    Ahern, Patrick
    Youssfi, El Hassan
    Zhu, Kehe
    [J]. JOURNAL OF OPERATOR THEORY, 2009, 61 (02) : 301 - 312
  • [7] Rough singular integral operators on Hardy-Sobolev spaces
    Chen D.
    Chen J.
    Fan D.
    [J]. Applied Mathematics-A Journal of Chinese Universities, 2005, 20 (1) : 1 - 9
  • [8] Sums of Dual Toeplitz Products on the Orthogonal Complements of the Hardy-Sobolev Spaces
    He, Li
    Huang, Peiying
    Lee, Young Joo
    [J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2021, 15 (08)
  • [9] Composition operators on Hardy-Sobolev spaces with bounded reproducing kernels
    He, Li
    [J]. AIMS MATHEMATICS, 2023, 8 (02): : 2708 - 2719
  • [10] Hardy-Sobolev spaces and their multipliers
    Cao GuangFu
    He Li
    [J]. SCIENCE CHINA-MATHEMATICS, 2014, 57 (11) : 2361 - 2368
12345