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Commutators for the maximal and sharp functions

Author(s): Jesús Bastero; Mario Milman; Francisco J. Ruiz
Journal: Proc. Amer. Math. Soc. 128 (2000), 3329-3334.
MSC (2000): Primary 42B25, 46E30
Posted: May 11, 2000
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Abstract | References | Similar articles | Additional information

Abstract:

The class of functions for which the commutator with the Hardy-Littlewood maximal function or the maximal sharp function are bounded on are characterized and proved to be the same.

References:

1.: C. Bennett and R. Sharpley, Interpolation of operators Academic Press, 1988. MR 89e:46001
2.: R. Coifman, R. Rochberg and G. Weiss, Factorization theorems for Hardy spaces in several variables Ann. Math. 103 (1976), 611-635. MR 54:843
3.: M. Milman and T. Schonbek Second order estimates in interpolation theory and applications Proc. Amer. Math. Soc. 110 (4) 1990, 961-969. MR 91k:46088

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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

DOI: 10.1090/S0002-9939-00-05763-4
PII: S 0002-9939(00)05763-4
Keywords: Maximal functions, sharp function, BMO, commutators
Received by editor(s): January 6, 1999
Posted: 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 of article: Copyright 2000, American Mathematical Society


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