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Ergodicity in Stepanov-Orlicz spaces

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Abstract

The aim of this work is to introduce new classes of functions called Stepanov-Orlicz ergodic functions, which generalize in a natural way the classical Stepanov ergodicity introduced by Diagana. Comparative study of these new functions is investigated. Examples and counterexamples are presented.

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Acknowledgements

We would like to thank the anonymous reviewers for their valuable suggestions and helpful remarks that improved the clarity of the manuscript.

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Authors and Affiliations

  1. Laboratoire de Mathématiques Pures et Appliquées, Department of Mathematics, Faculty of Sciences, Mouloud Mammeri University of Tizi-Ouzou, Tizi-Ouzou, Algeria

    Fazia Bedouhene & Yousra Djabri

  2. Department of Mathematics, Faculty of Exact Sciences, University of Bejaia, Bejaia, Algeria

    Fatiha Boulahia

Authors
  1. Fazia Bedouhene
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  2. Yousra Djabri
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  3. Fatiha Boulahia
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Correspondence to Fazia Bedouhene.

Additional information

Communicated by Gradimir V. Milovanovic.

Dedicated to Professor Mohamed Morsli.

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Bedouhene, F., Djabri, Y. & Boulahia, F. Ergodicity in Stepanov-Orlicz spaces. Ann. Funct. Anal. 11, 137–153 (2020). https://doi.org/10.1007/s43034-019-00017-0

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  • DOI: https://doi.org/10.1007/s43034-019-00017-0

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