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Generalized weighted composition operators from Zygmund spaces to Bloch–Orlicz type spaces

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  • Bai, Hong-bin
  • Jiang, Zhi-jie

Abstract

Let D be the open unit disk in the complex plane C and H(D) the class of all analytic functions on D. Let φ be an analytic self-map of D and ψ∈H(D). In this paper the boundedness and compactness of the generalized weighted composition operator Dφ,ψnf=ψf(n)∘φ from the Zygmund space to the Bloch–Orlicz space and the little Bloch–Orlicz space are characterized.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:apmaco:v:273:y:2016:i:c:p:89-97
    DOI: 10.1016/j.amc.2015.09.055
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    References listed on IDEAS

    as
    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.
    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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    1. 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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