Weighted rearrangement inequalities for local sharp maximal functions

Lerner, Andrei

doi:10.1090/S0002-9947-04-03598-6

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Weighted rearrangement inequalities for local sharp maximal functions

Author: Andrei K. Lerner
Journal: Trans. Amer. Math. Soc. 357 (2005), 2445-2465
MSC (2000): Primary 42B20, 42B25
Posted: October 28, 2004
MathSciNet review: 2140445
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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.

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