IDEAS home Printed from https://ideas.repec.org/a/bla/mathna/v296y2023i4p1483-1503.html
   My bibliography  Save this article

Characterization of the boundedness of generalized fractional integral and maximal operators on Orlicz–Morrey and weak Orlicz–Morrey spaces

Author

Listed:
  • Ryota Kawasumi
  • Eiichi Nakai
  • Minglei Shi

Abstract

We give necessary and sufficient conditions for the boundedness of generalized fractional integral and maximal operators on Orlicz–Morrey and weak Orlicz–Morrey spaces. To do this, we prove the weak–weak type modular inequality of the Hardy–Littlewood maximal operator with respect to the Young function. Orlicz–Morrey spaces contain Lp$L^p$ spaces (1≤p≤∞$1\le p\le \infty$), Orlicz spaces, and generalized Morrey spaces as special cases. Hence, we get necessary and sufficient conditions on these function spaces as corollaries.

Suggested Citation

  • 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.
    • Handle: RePEc:bla:mathna:v:296:y:2023:i:4:p:1483-1503
    DOI: 10.1002/mana.202000332
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/mana.202000332
    Download Restriction: no
    File URL: https://libkey.io/10.1002/mana.202000332?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Hendra Gunawan & Denny I. Hakim & Kevin M. Limanta & Al A. Masta, 2017. "Inclusion properties of generalized Morrey spaces," Mathematische Nachrichten, Wiley Blackwell, vol. 290(2-3), pages 332-340, February.
    2. Yoshihiro Sawano & Saad R. El†Shabrawy, 2018. "Weak Morrey spaces with applications," Mathematische Nachrichten, Wiley Blackwell, vol. 291(1), pages 178-186, January.
    3. Yiyu Liang & Dachun Yang & Renjin Jiang, 2016. "Weak Musielak–Orlicz Hardy spaces and applications," Mathematische Nachrichten, Wiley Blackwell, vol. 289(5-6), pages 634-677, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:mathna:v:296:y:2023:i:4:p:1483-1503. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0025-584X .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.