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A Class of Operators on Weighted Bergman Spaces

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Abstract.

This paper studies the connection between an analytic function φ on the unit disk \({\mathbb{D}}\) and a certain type of operators induced by φ on weighted Bergman spaces A α of analytic functions on \({\mathbb{D}}\) . The general theme is the interplay between smoothness conditions on φ and the S p -norms of the operators induced by φ.

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Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin-Platteville, Platteville, WI, 53818, USA

    Miyeon Kwon

  2. Department of Mathematics, The University of Alabama, Tuscaloosa, AL, 35487, USA

    Zhijian Wu

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  1. Miyeon Kwon
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  2. Zhijian Wu
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Correspondence to Miyeon Kwon.

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Kwon, M., Wu, Z. A Class of Operators on Weighted Bergman Spaces. Integr. equ. oper. theory 62, 411–417 (2008). https://doi.org/10.1007/s00020-008-1632-3

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  • DOI: https://doi.org/10.1007/s00020-008-1632-3

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