单位球加权Bergman空间上的乘法算子

张阚, 丰雪, 董建国, 关驰, 于妍

数学学报 ›› 2015, Vol. 58 ›› Issue (1) : 125-130.

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数学学报 ›› 2015, Vol. 58 ›› Issue (1) : 125-130. DOI: 10.12386/A2015sxxb0013
论文

单位球加权Bergman空间上的乘法算子

    张阚, 丰雪, 董建国, 关驰, 于妍
作者信息 +

Multiplication Operator on the Weighted Bergman Space of the Unit Ball

    Kan ZHANG, Xue FENG, Jian Guo DONG, Chi GUAN, Yan YU
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摘要

函数空间上的乘法算子是包含许多重要算子的算子类,本文主要研究了单位球加权Bergman空间上乘法算子的性质.

Abstract

Multiplication operator is an important class of operators in function space. We mainly research the properties of the multiplication operator on the weighted Bergman space of the unit ball.

关键词

乘法算子 / Bergman空间 / Berezin变换

Key words

multiplication operator / Bergman space / Berezin transform

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张阚, 丰雪, 董建国, 关驰, 于妍. 单位球加权Bergman空间上的乘法算子. 数学学报, 2015, 58(1): 125-130 https://doi.org/10.12386/A2015sxxb0013
Kan ZHANG, Xue FENG, Jian Guo DONG, Chi GUAN, Yan YU. Multiplication Operator on the Weighted Bergman Space of the Unit Ball. Acta Mathematica Sinica, Chinese Series, 2015, 58(1): 125-130 https://doi.org/10.12386/A2015sxxb0013

参考文献

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基金

国家自然科学基金资助项目(11371182)

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