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单位球上不同 Bergman空间之间的广义 Ces\`{a}ro 算子
引用本文:吕小芬.单位球上不同 Bergman空间之间的广义 Ces\`{a}ro 算子[J].数学研究及应用,2011,31(3):545-550.
作者姓名:吕小芬
作者单位:湖州师范学院数学系, 浙江 湖州 313000
基金项目:国家自然科学基金(Grant No.10771064),浙江省自然科学基金(Grant Nos.Y7080197;Y6090036;Y6100219),浙江省高校创新团队(Grant No.T200924).
摘    要:In this paper,we obtain the characterizations on μ for(p,q)-φCarleson measure,and discuss the boundedness(and compactness) of the extended Cesaro operators T g between different weighted Bergman spaces as some application.

关 键 词:extended  Cesaro  operator  Bergman  space  normal  function.
收稿时间:2009/6/11 0:00:00
修稿时间:2010/4/26 0:00:00

Extended Ces\`{a}ro Operators between Different Bergman Spaces in the Ball
Xiao Fen L"{U}.Extended Ces\`{a}ro Operators between Different Bergman Spaces in the Ball[J].Journal of Mathematical Research with Applications,2011,31(3):545-550.
Authors:Xiao Fen L"{U}
Institution:Department of Mathematics, Huzhou Teachers College, Zhejiang, 313000, P. R. China
Abstract:In this paper, we obtain the characterizations on $\mu$ for $(p,q)-\varphi$ Carleson measure, and discuss the boundedness (and compactness) of the extended Ces\`{a}ro operators $T_g$ between different weighted Bergman spaces as some application.
Keywords:extended  Ces\`{a}ro operator    Bergman space  normal function  
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