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# Sharp weighted estimates for approximating dyadic operators

Sharp weighted estimates for approximating dyadic operators
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 Author: Cruz Uribe, David Martell Berrocal, José María Pérez Moreno, Carlos Department: Universidad de Sevilla. Departamento de Análisis Matemático Date: 2010 Published in: Electronic Research Announcements of the American Mathematical Society, 17, 12-19. Document type: Article 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 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. Cite: 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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DOI: 10.3934/era.2010.17.12

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