Commutant of Analytic Toeplitz Operators on the Bergman Space 被引量：6

Commutant of Analytic Toeplitz Operators on the Bergman Space

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摘要 In this paper, we characterize the commutant of Toeplitz operators on weighted Bergman space with symbol polynomial by using algebraic curves theory. In this paper, we characterize the commutant of Toeplitz operators on weighted Bergman space with symbol polynomial by using algebraic curves theory.

作者 Jia Yi JIANG Di Sheng XU Department of Mathematics, Peking University, Beijing 100871, P.R. China

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第12期2255-2258,共4页 数学学报（英文版）

关键词 Toeplitz operator COMMUTANT Bergman space algebraic curves Toeplitz operator, commutant, Bergman space, algebraic curves

分类号 O177 [理学—基础数学]

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参考文献4

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同被引文献7

1JIANG Chunlan & HE HuaDepartment of Mathematics, Hebei University of Technology, Tianjin 300130, China,Department of Mathematics, Universtiy of Pueto Rico, Rio Piedras San Juan, PR 00931, USA,Department of Mathematics, Hebei Normal University, Shijiazhuang 050016, China.Quasisimilarity of Cowen-Douglas operators[J].Science China Mathematics,2004,47(2):297-310. 被引量：12
2Chun-Ian JIANG,Yu-cheng Li.The commutant and similarity invariant of analytic Toeplitz operators on Bergman space[J].Science China Mathematics,2007,50(5):651-664. 被引量：12
3ZHANG YunNan,LIN LiQiong,ZHONG HuaiJie.The approximate Jordan forms of operators on Σ_e^1 type Banach spaces[J].Science China Mathematics,2011,54(4):723-740. 被引量：3
4林丽琼,钟怀杰,张云南.(NCI)算子与(NFI)算子[J].数学学报（中文版）,2012,55(3):489-498. 被引量：1
5Kui JI,Rui SHI.Similarity of Multiplication Operators on the Sobolev Disk Algebra[J].Acta Mathematica Sinica,English Series,2013,29(4):789-800. 被引量：1
6GUO KunYu,WANG XuDi.Reducing subspaces of tensor products of weighted shifts[J].Science China Mathematics,2016,59(4):715-730. 被引量：4
7江泽坚,孙善利.关于完全不可约算子[J].吉林大学自然科学学报,1992(4):20-29. 被引量：8

引证文献6

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2张云南,钟怀杰,林丽琼.Banach空间上算子的几种不可约性[J].中国科学：数学,2012,42(1):69-80.
3李玉成,刘海峰,李香叶.加权Bergman空间上解析Toeplitz算子的换位及相似[J].中国科学：数学,2012,42(11):1147-1158. 被引量：1
4LIN LiQiong,ZHONG HuaiJie,ZHANG YunNan.Similarity invariants of operators on a class of Gowers-Maurey spaces[J].Science China Mathematics,2013,56(4):803-810. 被引量：1
5张核心.Dirichlet空间上一类积分算子的约化子空间[J].数学物理学报（A辑）,2021,41(3):595-602.
6陈翠,王亚,梁玉霞.单位球上加权Bergman空间中乘子算子的拟相似性[J].数学学报（中文版）,2022,65(3):455-460. 被引量：1

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1张学军,肖建斌,李敏,关莹.单位球上加权Bergman空间的复合型算子[J].中国科学：数学,2015,45(2):141-150. 被引量：5
2Yun Nan ZHANG,Li Qiong LIN.Two Classes of Operators with Irreducibility and the Small and Compact Perturbations of Them[J].Acta Mathematica Sinica,English Series,2015,31(8):1261-1272.
3欧阳东凌,熊良鹏.混范空间到加权Bloch型空间积分型算子[J].江西科技师范大学学报,2022(6):102-105.

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Acta Mathematica Sinica,English Series

2010年第12期

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Commutant of Analytic Toeplitz Operators on the Bergman Space 被引量：6

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