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On a product-type operator from weighted Bergman–Orlicz space to some weighted type spaces

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  • Jiang, Zhi-jie

Abstract

Let D={z∈C:|z|<1} be the open unit disk, φ an analytic self-map of D and ψ an analytic function on D. Let D be the differentiation operator and Wφ,ψ the weighted composition operator. The boundedness and compactness of the product-type operator DWφ,ψ from the weighted Bergman–Orlicz space to the Bers type space, weighted Bloch space and weighted Zygmund space on D are characterized.

Suggested Citation

  • Jiang, Zhi-jie, 2015. "On a product-type operator from weighted Bergman–Orlicz space to some weighted type spaces," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 37-51.
  • Handle: RePEc:eee:apmaco:v:256:y:2015:i:c:p:37-51
    DOI: 10.1016/j.amc.2015.01.025
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    Cited by:

    1. Bai, Hong-bin & Jiang, Zhi-jie, 2016. "Generalized weighted composition operators from Zygmund spaces to Bloch–Orlicz type spaces," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 89-97.
    2. Jiang, Zhi-jie, 2015. "Generalized product-type operators from weighted Bergman–Orlicz spaces to Bloch–Orlicz spaces," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 966-977.

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