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Semigroups of Composition Operators in Analytic Morrey Spaces

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Abstract

Analytic Morrey spaces belong to the class of function spaces which, like BMOA, are defined in terms of the degree of oscillation on the boundary of functions analytic in the unit disc. We consider semigroups of composition operators on these spaces and focus on the question of strong continuity. It is shown that these semigroups behave like on BMOA.

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Acknowledgements

The authors would like to thank the referee for the remarks and suggestions which improved the readability of the article.

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Authors and Affiliations

  1. Department of Mathematics, Aristotle University of Thessaloniki, 54124, Thessaloníki, Greece

    Petros Galanopoulos & Aristomenis G. Siskakis

  2. Departamento de Matemática Aplicada, ETSII, Universidad de Málaga, Campus de Teatinos, 29071, Málaga, Spain

    Noel Merchán

Authors
  1. Petros Galanopoulos
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  2. Noel Merchán
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  3. Aristomenis G. Siskakis
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Correspondence to Noel Merchán.

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Galanopoulos, P., Merchán, N. & Siskakis, A.G. Semigroups of Composition Operators in Analytic Morrey Spaces. Integr. Equ. Oper. Theory 92, 12 (2020). https://doi.org/10.1007/s00020-020-2568-5

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  • DOI: https://doi.org/10.1007/s00020-020-2568-5

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