Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (2): 204-212.

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Products of Extended Ces`aro Operator and Composition Operator from Generalized Besov Spaces to Zygmund Spaces

  

  1. Jinxiu Middle School

  • Received:2010-06-01 Online:2012-06-30 Published:2023-03-29
  • About author:OUYANG Xiao-rong(1983-), male, native of Yongxin, Jiangxi, engages in complex variables and operator theory.
  • Supported by:
    Supported by the National Natural Science Foundation of China(10771064)； Supported by the Natural Science Foundation of Zhejiang Province(Y7080197,Y6090036,Y6100219)； Supported by the Foundation of Creative Group in Colleges and Universities of Zhejiang Province(T200924)

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Abstract: We characterize the boundedness and compactness of the product of extended Cesaro operator and composition operator TgCφ from generalized Besov spaces to Zygmund spaces, where g is a given holomorphic function in the unit disk D, φ is an analytic self-map of D and TgCφ is defined by TgCφf(z) = f(φ(t))g’(t)dt from t=0 to z.


Key words: extended Cesaro operator, composition operator, generalized Besov space; Zygmund space

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