Commutativity of kth-order slant Toeplitz operators

被引：7
|
作者：
Lu, Yufeng [1 ]
Liu, Chaomei [1 ]
Yang, Jun [1 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
MATHEMATISCHE NACHRICHTEN | 2010年 / 283卷 / 09期
关键词：
Toeplitz operator; k(th)-order slant Toeplitz operator; commutativity; Bergman space; PLURIHARMONIC SYMBOLS; HARMONIC SYMBOLS; BERGMAN SPACES; ADJOINTS;
D O I：
10.1002/mana.200710100
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, commutativity of k(th)-order slant Toeplitz operators are discussed. We show that commutativity and essential commutativity of two slant Toeplitz operators are the same. Also, we study k(th)-order slant Toeplitz operators on the Bergman space L-a(2)(D) and give some commuting properties, algebraic and spectral properties of k(th)-order slant Toeplitz operators on the Bergman space. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码：1304 / 1313
页数：10
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