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Weak Morrey spaces with applications

Author

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  • Yoshihiro Sawano
  • Saad R. El†Shabrawy

Abstract

The main object of this investigation is to study weak Morrey spaces. Block spaces, which are preduals of weak Morrey spaces, are characterized. Besides, the Fatou property of block spaces is proved. Finally, as an application, we study the boundedness of singular integral operators in weak Morrey spaces.

Suggested Citation

  • Yoshihiro Sawano & Saad R. El†Shabrawy, 2018. "Weak Morrey spaces with applications," Mathematische Nachrichten, Wiley Blackwell, vol. 291(1), pages 178-186, January.
    • Handle: RePEc:bla:mathna:v:291:y:2018:i:1:p:178-186
    DOI: 10.1002/mana.201700001
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    Cited by:

    1. Eiichi Nakai & Yoshihiro Sawano, 2021. "Spaces of Pointwise Multipliers on Morrey Spaces and Weak Morrey Spaces," Mathematics, MDPI, vol. 9(21), pages 1-18, October.
    2. Ryota Kawasumi & Eiichi Nakai & Minglei Shi, 2023. "Characterization of the boundedness of generalized fractional integral and maximal operators on Orlicz–Morrey and weak Orlicz–Morrey spaces," Mathematische Nachrichten, Wiley Blackwell, vol. 296(4), pages 1483-1503, April.

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