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Commutators of fractional maximal operator on generalized Orlicz–Morrey spaces

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Abstract

In the present paper, we shall give necessary and sufficient conditions for the Spanne and Adams type boundedness of the commutators of fractional maximal operator on generalized Orlicz–Morrey spaces, respectively. The main advance in comparison with the existing results is that we manage to obtain conditions for the boundedness not in integral terms but in less restrictive terms of supremal operators.

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Authors and Affiliations

  1. Department of Mathematics, Ahi Evran University, Kirsehir, Turkey

    Fatih Deringoz & Vagif S. Guliyev

  2. S.M. Nikolskii Institute of Mathematics at RUDN University, 6 Miklukho-Maklay St, Moscow, 117198, Russia

    Vagif S. Guliyev

  3. Institute of Mathematics and Mechanics, Baku, Azerbaijan

    Vagif S. Guliyev

  4. Ganja State University, Ganja, Azerbaijan

    Sabir G. Hasanov

Authors
  1. Fatih Deringoz
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  2. Vagif S. Guliyev
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  3. Sabir G. Hasanov
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Correspondence to Fatih Deringoz.

Additional information

The research of V.S. Guliyev and F. Deringoz is partially supported by the grant of Ahi Evran University Scientific Research Project (FEF.A3.16.024). The research of V.S. Guliyev is partially supported by the Ministry of Education and Science of the Russian Federation (the Agreement No. 02.a03.21.0008).

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Deringoz, F., Guliyev, V.S. & Hasanov, S.G. Commutators of fractional maximal operator on generalized Orlicz–Morrey spaces. Positivity 22, 141–158 (2018). https://doi.org/10.1007/s11117-017-0504-y

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