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Weighted rearrangement inequalities for local sharp maximal functions

Author(s): Andrei K. Lerner
Journal: Trans. Amer. Math. Soc. 357 (2005), 2445-2465.
MSC (2000): Primary 42B20, 42B25
Posted: October 28, 2004
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Abstract | References | Similar articles | Additional information

Abstract: Several weighted rearrangement inequalities for uncentered and centered local sharp functions are proved. These results are applied to obtain new weighted weak-type and strong-type estimates for singular integrals. A self-improving property of sharp function inequalities is established.

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Additional Information:

Andrei K. Lerner
Affiliation: Department of Mathematics, Bar-Ilan University, 52900 Ramat Gan, Israel
Email: aklerner@netvision.net.il

DOI: 10.1090/S0002-9947-04-03598-6
PII: S 0002-9947(04)03598-6
Keywords: Weighted rearrangements, sharp maximal functions, singular integrals
Received by editor(s): September 10, 2003
Received by editor(s) in revised form: December 4, 2003
Posted: October 28, 2004
Copyright of article: Copyright 2004, American Mathematical Society

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