The Cesàro and related operators, a survey

Volume 75 / 2007

V. G. Miller Banach Center Publications 75 (2007), 233-247 MSC: Primary 47B38, 47A10, 47A11, 47D03. DOI: 10.4064/bc75-0-14


We provide a survey of properties of the Cesàro operator on Hardy and weighted Bergman spaces, along with its connections to semigroups of weighted composition operators. We also describe recent developments regarding Cesàro-like operators and indicate some open questions and directions of future research.


  • V. G. MillerDepartment of Mathematics and Statistics
    Mississippi State University
    Drawer MA
    Mississippi State
    MS 39762

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