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Essential norm of the difference of weighted composition operators

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Abstract.

We study differences of weighted composition operators between weighted Banach spaces H ν ∞ of analytic functions with weighted sup-norms and give an expression for the essential norm of these differences. We apply our result to estimate the essential norm of differences of composition operators acting on Bloch-type spaces.

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Authors and Affiliations

  1. Abo Akademi University, Abo, Finland

    Mikael Lindström

  2. University of Paderborn, Paderborn, Germany

    Elke Wolf

Authors
  1. Mikael Lindström
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  2. Elke Wolf
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Additional information

Authors’ addresses: Mikael Lindström, Department of Mathematics, Abo Akademi University, FIN 20500 Abo, Finland; Elke Wolf, Mathematical Institute, University of Paderborn, D-33095 Paderborn, Germany

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Lindström, M., Wolf, E. Essential norm of the difference of weighted composition operators. Monatsh Math 153, 133–143 (2008). https://doi.org/10.1007/s00605-007-0493-1

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  • DOI: https://doi.org/10.1007/s00605-007-0493-1

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