Article
Sharp weighted estimates for approximating dyadic operators
Author/s | Cruz Uribe, David
Martell Berrocal, José María Pérez Moreno, Carlos |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2010 |
Deposit Date | 2016-06-15 |
Published in |
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Abstract | We give a new proof of the sharp weighted L2 inequality ||T||_{L^2(w)} \leq c [w]_{A_2} where T is the Hilbert transform, a Riesz transform, the Beurling-Ahlfors operator or any operator that can be approximated by Haar ... We give a new proof of the sharp weighted L2 inequality ||T||_{L^2(w)} \leq c [w]_{A_2} where T is the Hilbert transform, a Riesz transform, the Beurling-Ahlfors operator or any operator that can be approximated by Haar shift operators. Our proof avoids the Bellman function technique and two weight norm inequalities. We use instead a recent result due to A. Lerner to estimate the oscillation of dyadic operators. |
Project ID. | MTM2009-08934
MTM2007-60952 PIE 200850I015 |
Citation | Cruz Uribe, D., Martell Berrocal, J.M. y Pérez Moreno, C. (2010). Sharp weighted estimates for approximating dyadic operators. Electronic Research Announcements of the American Mathematical Society, 17, 12-19. |
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