Powers and roots of Toeplitz operators

被引：16
作者：
Louhichi, Issam [1 ]
机构：
[1] Univ Bordeaux 1, UFR Math & Informat, F-33405 Talence, France
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 05期
关键词：
Toeplitz operators; Bergman space; Mellin transform;
D O I：
10.1090/S0002-9939-06-08626-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the commutativity of two Toeplitz operators whose symbols are quasihomogeneous functions. We give a relationship between this commutativity and the roots ( or powers) of the Toeplitz operators. We use this to characterize Toeplitz operators with symbols in L-infinity(D) which commute with Toeplitz operators whose symbols are of the form e(ip theta)r(m).
引用
收藏
页码：1465 / 1475
页数：11
相关论文
共 50 条
[31]   Weighted theory of Toeplitz operators on the Bergman space [J].
Stockdale, Cody B. ;
Wagner, Nathan A. .
MATHEMATISCHE ZEITSCHRIFT, 2023, 305 (01)
[32]   Remarks on hyponormal Toeplitz operators with nonharmonic symbols [J].
Kim, Sumin ;
Lee, Jongrak .
OPEN MATHEMATICS, 2023, 21 (01)
[33]   ON THE RANGE AND KERNEL OF TOEPLITZ AND LITTLE HANKEL OPERATORS [J].
Das, Namita ;
Jena, Pabitra Kumar .
METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2013, 19 (01) :55-67
[34]   Berezin Transform, Mellin Transform and Toeplitz Operators [J].
Željko Čučković ;
Bo Li .
Complex Analysis and Operator Theory, 2012, 6 :189-218
[35]   Weighted theory of Toeplitz operators on the Bergman space [J].
Cody B. Stockdale ;
Nathan A. Wagner .
Mathematische Zeitschrift, 2023, 305
[36]   ASYMPTOTIC TOEPLITZ AND HANKEL OPERATORS ON THE BERGMAN SPACE [J].
Das, Namita .
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2010, 41 (02) :379-400
[37]   The Essential Spectrum of Toeplitz Operators on the Unit Ball [J].
Hagger, Raffael .
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2017, 89 (04) :519-556
[38]   The Essential Spectrum of Toeplitz Operators on the Unit Ball [J].
Raffael Hagger .
Integral Equations and Operator Theory, 2017, 89 :519-556
[39]   Commutants of the sum of two quasihomogeneous Toeplitz operators [J].
Bouhali, Aissa ;
Louhichi, Issam .
CONCRETE OPERATORS, 2024, 11 (01)
[40]   Trace Class Toeplitz Operators with Singular Symbols [J].
Grigori V. Rozenblum ;
Nikolai L. Vasilevski .
Proceedings of the Steklov Institute of Mathematics, 2020, 311 :225-232
12345