IDEAS home Printed from https://ideas.repec.org/a/bla/mathna/v297y2024i7p2399-2444.html
   My bibliography  Save this article

Two‐weight extrapolation on function spaces and applications

Author

Listed:
  • Mingming Cao
  • Andrea Olivo

Abstract

This paper is devoted to studying the extrapolation theory of Rubio de Francia on general function spaces. We present endpoint extrapolation results including A1$A_1$, Ap$A_p$, and A∞$A_\infty$ extrapolation in the context of Banach function spaces, and also on modular spaces. We also include several applications that can be easily obtained using extrapolation: local decay estimates for various operators, Coifman–Fefferman inequalities that can be used to show some known sharp A1$A_1$ inequalities, Muckenhoupt–Wheeden and Sawyer's conjectures are also presented for many operators, which go beyond Calderón–Zygmund operators. Finally, we obtain two‐weight inequalities for Littlewood–Paley operators and Fourier integral operators on weighted Banach function spaces.

Suggested Citation

  • Mingming Cao & Andrea Olivo, 2024. "Two‐weight extrapolation on function spaces and applications," Mathematische Nachrichten, Wiley Blackwell, vol. 297(7), pages 2399-2444, July.
    • Handle: RePEc:bla:mathna:v:297:y:2024:i:7:p:2399-2444
    DOI: 10.1002/mana.202300120
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/mana.202300120
    Download Restriction: no
    File URL: https://libkey.io/10.1002/mana.202300120?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
    ---><---

    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:297:y:2024:i:7:p:2399-2444. 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-Blackwell Digital Licensing or Christopher F. Baum (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.