Difference of Weighted Composition Operators II

被引：4

作者：

Choe, Boo Rim ^{[1
]}

Choi, Koeun ^{[1
]}

Koo, Hyungwoon ^{[1
]}

Yang, Jongho ^{[2
]}

机构：

[1] Korea Univ, Dept Math, Seoul 02841, South Korea

[2] Korea Natl Univ Educ, Dept Math Educ, Chungbuk 28173, South Korea

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2021年 / 93卷 / 02期

关键词：

Difference; Weighted composition operator; Carleson measure; Boundedness; Compactness; Bergman space;

D O I：

10.1007/s00020-021-02632-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the setting of the unit disk we have recently obtained characterizations in terms of Carleson measures for bounded/compact differences of weighted composition operators acting from a standard weighted Bergman space into the corresponding weighted Lebesgue space. In this paper we extend those results to the case when the exponents of the domain space and the target space are different.

引用

页数：19

共 10 条

[1] Compact and Hilbert-Schmidt Differences of Weighted Composition Operators
Acharyya, Soumyadip
Wu, Zhijian
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2017, 88 (04) : 465 - 482
[2] Difference of weighted composition operators
Choe, Boo Rim
Choi, Koeun
Koo, Hyungwoon
Yang, Jongho
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 278 (05)
[3] Cowen CC, 1995, STUDIES ADV MATH
[4] Duren PL., 2004, BERGMAN SPACES, DOI [10.1090/surv/100, DOI 10.1090/SURV/100]
[5] Grafakos Loukas, 2008, Graduate Texts in Mathematics, Vsecond
[6] Carleson Measures and Toeplitz Operators for Weighted Bergman Spaces on the Unit Ball
Pau, Jordi
Zhao, Ruhan
[J]. MICHIGAN MATHEMATICAL JOURNAL, 2015, 64 (04) : 759 - 796
[7] Difference of composition operators between standard weighted Bergman spaces
Saukko, Erno
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 381 (02) : 789 - 798
[8] Shapiro JH., 1993, Composition Operators and Classical Function Theory, DOI [10.1007/978-1-4612-0887-7, DOI 10.1007/978-1-4612-0887-7]
[9] Zhao RH, 2008, MEM SOC MATH FR, V115, P1
[10] Zhu K., 2007, Operator Theory in Function Spaces, DOI 10.1090/surv/138

← 1 →