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Generalized product-type operators from weighted Bergman–Orlicz spaces to Bloch–Orlicz spaces

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  • Jiang, Zhi-jie

Abstract

Let D be the open unit disk in the complex plane, φ an analytic self-map of D and ψ an analytic function on D. Let Dn be the nth differentiation operator and Wφ,ψ the weighted composition operator. In this paper the boundedness and compactness of the generalized product-type operators DnWφ,ψ and Wφ,ψDn from weighted Bergman–Orlicz spaces to Bloch–Orlicz spaces are characterized.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:268:y:2015:i:c:p:966-977
    DOI: 10.1016/j.amc.2015.06.100
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    References listed on IDEAS

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    1. 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.
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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.

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    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.

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