Article
Two weight extrapolation via the maximal operator
Author/s | Cruz Uribe, David
Pérez Moreno, Carlos |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2000-06-20 |
Deposit Date | 2016-10-10 |
Published in |
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Abstract | We give several extrapolation theorems for pairs of weights of the form (w, Mkw) and (w, (Mw/w)r w), where w is any non-negative function, r>1, and Mk is the kth iterate of the Hardy–Littlewood maximal operator. As an ... We give several extrapolation theorems for pairs of weights of the form (w, Mkw) and (w, (Mw/w)r w), where w is any non-negative function, r>1, and Mk is the kth iterate of the Hardy–Littlewood maximal operator. As an application we show that our results can be used to extend and sharpen results for square functions and singular integral operators by Chang et al. (1985, Comment. Math. Helv.60, 217–246), Chanillo and Wheeden (1987, Indiana Univ. Math. J.36, 277–294), Wilson (1987, Duke Math. J.55, 879–887; 1989, Trans. Amer. Math. Soc.314, 661–692; 1989, Illinois J. Math.33, 361–366), and Uchiyama (1995, Studia Math.115, 135–149). In the process we prove a conjecture due to Wilson. |
Funding agencies | Dirección General de Investigación Científica y Técnica (DGICYT). España |
Project ID. | PB940192 |
Citation | Cruz Uribe, D. y Pérez Moreno, C. (2000). Generalized Poincaré inequalities: Sharp self-improving propertiesTwo weight extrapolation via the maximal operator. Journal of Functional Analysis, 174 (1), 1-17. |
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