| Bergman空间上Toeplitz算子的凸性 |
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| 引用本文： | 曹广福,孙善利,王刚.Bergman空间上Toeplitz算子的凸性[J].数学学报,1995,38(6):810-816. |
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| 作者姓名： | 曹广福 孙善利 王刚 |
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| 作者单位： | 哈尔滨建筑工程学院数学系，吉林大学数学所，北京石油化工学院 |
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| 摘 要： | 本文讨论了Ｂｅｒｇｍａｎ空间上Ｔｏｅｐｌｉｔｚ算子的凸性，证明了具有调和符号和一类连续函数符号的Ｔｏｅｐｌｉｔｚ算子是凸型算子，并举例说明，存在具有连续函数符号的非凸型Ｔｏｅｐｌｉｔｚ算子。
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| 关 键 词： | Bergman空间，Toeplitz算子，凸型算子 |
| 收稿时间： | 1993-5-22 |
| 修稿时间： | 1993-7-15 |
On Convexity of Toeplitz Operators on Bergman Spaces |
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| Cao Guangfu.On Convexity of Toeplitz Operators on Bergman Spaces[J].Acta Mathematica Sinica,1995,38(6):810-816. |
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| Authors: | Cao Guangfu |
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| Institution: | Cao Guangfu(Department of Mathematics,Haerbin Architectural and Civil Engineering Institute,Haerbin 150006, China)SunShanli(Institute of Mathematics,Jinlin University,Changchun 130023,China)Wang Gang(Beijing Institute of Petro-Chemical Technology,Beijing |
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| Abstract: | In this paper,we discuss the convexity of Toeplitz operators on Bergman spaces,andprove that the Teoplitz operators with harmonic symbols and a class of continuous symbols areconvexoid operators.In addition,we give an example showing that there exist non-convexiodToeplitz operators with continuous symbols. |
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| Keywords: | Bergman space Toeplitz operator convexoid operator |
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