Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
|
   
Available in electronic format
Available in print format 		Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

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
MathSciNet review: 1777580
Retrieve article in: PDF
This article is available free of charge

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 $L^q$ 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

Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 42B25, 46E30

Retrieve articles in all Journals with MSC (2000): 42B25, 46E30

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




AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia