Weighted rearrangement inequalities for local sharp maximal functions
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- by Andrei K. Lerner PDF
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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.References
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Additional Information
- Andrei K. Lerner
- Affiliation: Department of Mathematics, Bar-Ilan University, 52900 Ramat Gan, Israel
- MR Author ID: 615118
- Email: aklerner@netvision.net.il
- Received by editor(s): September 10, 2003
- Received by editor(s) in revised form: December 4, 2003
- Published electronically: October 28, 2004
- © Copyright 2004 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 357 (2005), 2445-2465
- MSC (2000): Primary 42B20, 42B25
- DOI: https://doi.org/10.1090/S0002-9947-04-03598-6
- MathSciNet review: 2140445