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Inclusions in Generalized Orlicz Spaces

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Abstract

In this paper, we give some equivalent conditions to have an inclusion between two generalized Orlicz spaces. One of these conditions does not depend on generalized Young functions. The obtained results improve the famous ones on Lebesgue spaces.

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Acknowledgements

Yoshihiro Sawano was partially supported by Grant-in-Aid for Scientific Research (C), No. 19K03546, for Japan Society for the Promotion of Science. The authors would like to thank the referees of this paper for their careful reading and nice suggestions.

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Authors and Affiliations

  1. Graduate School of Science and Engineering, Chuo University, 1-13-27 Kasuga, Bunkyo-Ku, Tokyo, Japan

    Yoshihiro Sawano

  2. Department of Mathematics, University of Qom, Qom, Iran

    Seyyed Mohammad Tabatabaie

Authors
  1. Yoshihiro Sawano
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  2. Seyyed Mohammad Tabatabaie
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Correspondence to Seyyed Mohammad Tabatabaie.

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Communicated by Mohammad B. Asadi.

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Sawano, Y., Tabatabaie, S.M. Inclusions in Generalized Orlicz Spaces. Bull. Iran. Math. Soc. 47, 1227–1233 (2021). https://doi.org/10.1007/s41980-020-00437-y

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  • DOI: https://doi.org/10.1007/s41980-020-00437-y

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