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Hypercyclic Weighted Composition Operators with Hyperbolic Symbols on Hardy Spaces

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Abstract

In the present paper, we study the hypercyclic property of weighted composition operator Cφ,ψ acting on the usual Hardy space \(H^{2} \left( {\mathbb{D}} \right)\), whenever φ is a bounded holomorphic function and ψ is a hyperbolic linear fractional self-map of the unit disk.

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Authors and Affiliations

  1. Department of Mathematics, College of Sciences, Yasouj University, 75914-74831, Yasouj, Iran

    Maryam Asadi & Hamid Rezaei

Authors
  1. Maryam Asadi
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  2. Hamid Rezaei
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Correspondence to Hamid Rezaei.

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Asadi, M., Rezaei, H. Hypercyclic Weighted Composition Operators with Hyperbolic Symbols on Hardy Spaces. Iran J Sci Technol Trans Sci 43, 2433–2441 (2019). https://doi.org/10.1007/s40995-019-00714-4

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  • DOI: https://doi.org/10.1007/s40995-019-00714-4

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