| 一类自伴与本质自伴的加权复合算子 |
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| 引用本文： | 赵国俊,郭树林. 一类自伴与本质自伴的加权复合算子[J]. 南京工程学院学报(自然科学版), 2008, 6(2): 1-5 |
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| 作者姓名： | 赵国俊 郭树林 |
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| 作者单位： | 南京工程学院基础部,江苏南京,211167 |
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| 摘 要： | 研究了经典Bergman空间上加权复合算子的自伴性与本质自伴性．利用再生核函数刻化了自伴的加权复合算子;利用紧Carleson测度和紧Hankel算子给出了D上线性分式自映射所诱导的加权复合算子本质自伴的充要条件．
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| 关 键 词： | Bergman空间 加权复合算子 自伴 本质自伴 线性分式 |
A Class of Self-adjoint and Essential Self-adjoint Weighted Composition Operators |
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| ZHAO Guo-jun,GUO Shu-lin. A Class of Self-adjoint and Essential Self-adjoint Weighted Composition Operators[J]. Journal of Nanjing Institute of Technology :Natural Science Edition, 2008, 6(2): 1-5 |
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| Authors: | ZHAO Guo-jun GUO Shu-lin |
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| Affiliation: | ZHAO Guo-jun,GUO Shu-lin(Department of Basic Course,Nanjing institute of Technology,Nanjing 211167,China) |
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| Abstract: | This paper studied the self-adjoint and essential self-adjoint characteristics of weighted composition operators in Bergman space.Self-adjoint weighted composition operators were considered by reproducing kernel functions.A sufficient and necessary condition for essentially self-adjoint weighted composition operators was also worked out by using compact Carleson measures and compact Hankel operators. |
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| Keywords: | Bergman space weighted composition operator self-adjoint essentially self-adjoint linear-fractional |
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