Commutators for the maximal and sharp functions
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- by Jesús Bastero, Mario Milman and Francisco J. Ruiz PDF
- Proc. Amer. Math. Soc. 128 (2000), 3329-3334 Request permission
Abstract:
The class of functions for which the commutator with the Hardy-Littlewood maximal function or the maximal sharp function are bounded on $L^q$ are characterized and proved to be the same.References
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Additional Information
- Jesús Bastero
- Affiliation: Department of Mathematics, University of Zaragoza, 50009-Zaragoza, Spain
- Email: bastero@posta.unizar.es
- Mario Milman
- Affiliation: Department of Mathematics, Florida Atlantic University, Boca Raton, Florida 33431
- Email: interpol@bellsouth.net
- Francisco J. Ruiz
- Affiliation: Department of Mathematics, University of Zaragoza, 50009-Zaragoza, Spain
- Email: fjruiz@posta.unizar.es
- Received by editor(s): January 6, 1999
- Published electronically: May 11, 2000
- Additional Notes: The first author was partially supported by DGES
The second author’s research was partially supported by the “Comisión de Doctorado” from the University of Zaragoza during his visit there
The third author was partially supported by DGES and UR - Communicated by: Christopher D. Sogge
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 3329-3334
- MSC (2000): Primary 42B25, 46E30
- DOI: https://doi.org/10.1090/S0002-9939-00-05763-4
- MathSciNet review: 1777580