IDEAS home Printed from https://ideas.repec.org/a/bla/mathna/v291y2018i8-9p1400-1417.html
   My bibliography  Save this article

Maximal and fractional integral operators on generalized Morrey spaces over metric measure spaces

Author

Listed:
  • Idha Sihwaningrum
  • Hendra Gunawan
  • Eiichi Nakai

Abstract

We establish the boundedness and weak boundedness of the maximal operator and generalized fractional integral operators on generalized Morrey spaces over metric measure spaces (X,d,μ) without the assumption of the growth condition on μ. The results are generalization and improvement of some known results. We also give the vector†valued boundedness. Moreover we prove the independence of the choice of the parameter in the definition of generalized Morrey spaces by using the geometrically doubling condition in the sense of Hytönen.

Suggested Citation

  • Idha Sihwaningrum & Hendra Gunawan & Eiichi Nakai, 2018. "Maximal and fractional integral operators on generalized Morrey spaces over metric measure spaces," Mathematische Nachrichten, Wiley Blackwell, vol. 291(8-9), pages 1400-1417, June.
    • Handle: RePEc:bla:mathna:v:291:y:2018:i:8-9:p:1400-1417
    DOI: 10.1002/mana.201600350
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/mana.201600350
    Download Restriction: no
    File URL: https://libkey.io/10.1002/mana.201600350?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Xianjie Yan & Ziyi He & Dachun Yang & Wen Yuan, 2023. "Hardy spaces associated with ball quasi‐Banach function spaces on spaces of homogeneous type: Characterizations of maximal functions, decompositions, and dual spaces," Mathematische Nachrichten, Wiley Blackwell, vol. 296(7), pages 3056-3116, July.

    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:291:y:2018:i:8-9:p:1400-1417. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.