Compact Sums of Toeplitz Products on Weighted Bergman and Dirichlet Spaces

被引：1

作者：

Lee, Young Joo ^{[1
]}

Na, Kyunguk ^{[2
]}

机构：

[1] Chonnam Natl Univ, Dept Math, Gwangju 500757, South Korea

[2] Hanshin Univ, King Jeongjo Coll Liberal Arts, Osan 447791, Gyeonggi, South Korea

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2016年 / 10卷 / 08期

基金：

新加坡国家研究基金会;

关键词：

Toeplitz operator; Weighted Bergman spaces; Weighted Dirichlet spaces; OPERATORS;

D O I：

10.1007/s11785-016-0576-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

On the weighted Bergman and Dirichlet spaces, we characterize the compactness for operators which are finite sums of products of several Toeplitz operators. Our results extend the several known results by using complete different arguments.

引用

页码：1799 / 1809

页数：11

共 5 条

[1]

Adams R.A., 1975, Sobolev Spaces

[2]

Axler S, 1998, INDIANA U MATH J, V47, P387

[3] Sums of Products of Toeplitz and Hankel Operators on the Dirichlet Space [J].

Lee, Young Joo ;

Zhu, Kehe .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2011, 71 (02) :275-302

[4] Compact Toeplitz Operators on the Weighted Dirichlet Space [J].

Lu, Yu Feng ;

Hu, Yin Yin ;

Liu, Liu .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2015, 31 (01) :35-43

[5] Compact Toeplitz operators with continuous symbols on weighted Bergman spaces [J].

Nakazi, T ;

Yoneda, R .

GLASGOW MATHEMATICAL JOURNAL, 2000, 42 :31-35

← 1 →