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    • 卢玉峰,张波.Bergman空间上可交换的Hankel算子和Toeplitz算子[J].数学年刊A辑,2011,32(5):519~530
    Bergman空间上可交换的Hankel算子和Toeplitz算子
    Commuting Hankel and Toeplitz Operators on the Bergman Space
      
    DOI：
    中文关键词:  小Hankel算子  Toeplitz算子  Bergman空间  Mellin变换  交换性  
    英文关键词:Small Hankel operator  Toeplitz operator  Bergman space  Mellin transform  Commutativity  
    基金项目:国家自然科学基金(No.10971020)资助的项目
    Author NameAffiliationE-mail
    LU Yufeng School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,Liaoning,China. lyfdlut1@yahoo.com.cn 
    ZHANG Bo School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,Liaoning,China. zhangdlut@yahoo.cn 
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    中文摘要:
          证明了 Bergman 空间上的两个小 Hankel 算子如果是可交换的且其中一个是拟齐次的小 Hankel 算子,则另一个也是拟齐次的. 还研究了 Toeplitz 算子和小 Hankel 算子的交换性.
    英文摘要:
          In this paper, the authors prove that if two small Hankel operators on the Bergman space commute and the symbol of one of them is quasihomogeneous, then the other one is also quasihomogeneous. Furthermore, the commutativity of Toeplitz operators and small Hankel operators is also studied.
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