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Weighted Composition Operators Between Zygmund Type Spaces and Their Essential Norms

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Abstract

Let \({u \in \mathcal{H}(\mathbb{D})}\) and φ be an analytic self-map of \({\mathbb{D}}\). We estimate the essential norms of weighted composition operators uC φ acting on Zygmund type spaces in terms of u, φ, their derivatives and the n-th power φ n of φ. Moreover, we give similar characterizations for boundedness of uC φ between Zygmund type spaces.

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Authors and Affiliations

  1. Department of Mathematics, Kharazmi (Tarbiat Moallem) University, 50, Taleghani Ave., 15618, Tehran, Iran

    Kobra Esmaeili

  2. Department of Mathematical Sciences, University of Oulu, 90014, Oulu, Finland

    Mikael Lindström

Authors
  1. Kobra Esmaeili
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  2. Mikael Lindström
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Correspondence to Mikael Lindström.

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Esmaeili, K., Lindström, M. Weighted Composition Operators Between Zygmund Type Spaces and Their Essential Norms. Integr. Equ. Oper. Theory 75, 473–490 (2013). https://doi.org/10.1007/s00020-013-2038-4

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  • DOI: https://doi.org/10.1007/s00020-013-2038-4

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