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Characterization of Parabolic Fractional Maximal Function and Its Commutators in Orlicz Spaces

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Modern Methods in Operator Theory and Harmonic Analysis (OTHA 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 291))

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Abstract

In this paper, we give a necessary and sufficient condition for the boundedness of the parabolic fractional maximal operator and its commutators in Orlicz spaces.

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Acknowledgements

The authors thank the referees for careful reading the paper and useful comments. The research of V.S. Guliyev was partially supported by the grant of 1st Azerbaijan-Russia Joint Grant Competition (Grant No. EIF-BGM-4-RFTF-1/2017-21/01/1).

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan

    Vagif S. Guliyev

  2. Dumlupinar University, Kutahya, 43100, Turkey

    Vagif S. Guliyev

  3. Omer Halisdemir University, Nigde, 51240, Turkey

    Ahmet Eroglu

  4. Azerbaijan State University of Economics, Baku, Azerbaijan

    Gulnara A. Abasova

Authors
  1. Vagif S. Guliyev
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  2. Ahmet Eroglu
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  3. Gulnara A. Abasova
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Corresponding author

Correspondence to Vagif S. Guliyev .

Editor information

Editors and Affiliations

  1. Institute of Mathematics, Mechanic and Computer Sciences and Regional Mathematical Center, Southern Federal University, Rostov-on-Don, Russia

    Alexey Karapetyants

  2. Department of Mathematics, Cinvestav, Santiago de Querétaro, Querétaro, Mexico

    Vladislav Kravchenko

  3. Department of Mathematics, Bar-Ilan University, Ramat Gan, Israel

    Elijah Liflyand

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Guliyev, V.S., Eroglu, A., Abasova, G.A. (2019). Characterization of Parabolic Fractional Maximal Function and Its Commutators in Orlicz Spaces. In: Karapetyants, A., Kravchenko, V., Liflyand, E. (eds) Modern Methods in Operator Theory and Harmonic Analysis. OTHA 2018. Springer Proceedings in Mathematics & Statistics, vol 291. Springer, Cham. https://doi.org/10.1007/978-3-030-26748-3_2

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