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2003 Sharp weighted estimates for vector-valued singular integral operators and commutators
Carlos Pérez, Rodrigo Trujillo-González
Tohoku Math. J. (2) 55(1): 109-129 (2003). DOI: 10.2748/tmj/1113247449

Abstract

We prove sharp weighted norm inequalities for vector-valued singular integral operators and commutators. We first consider the strong $(p,p)$ case with $p>1$ and then the weak-type $(1,1)$ estimate. Our results do not assume any condition on the weight function and involve iterations of the classical Hardy-Littlewood maximal function.

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Carlos Pérez. Rodrigo Trujillo-González. "Sharp weighted estimates for vector-valued singular integral operators and commutators." Tohoku Math. J. (2) 55 (1) 109 - 129, 2003. https://doi.org/10.2748/tmj/1113247449

Information

Published: 2003
First available in Project Euclid: 11 April 2005

zbMATH: 1053.42021
MathSciNet: MR1956084
Digital Object Identifier: 10.2748/tmj/1113247449

Subjects:
Primary: 42B25
Secondary: 47G10

Keywords: maximal functions , singular integral operators , weights‎

Rights: Copyright © 2003 Tohoku University

Vol.55 • No. 1 • 2003
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