Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/96338
 Title: Rubio de Francia's extrapolation theorem for $B_{p}$ weights Author: Carro Rossell, María JesúsLorente, M. Keywords: Desigualtats (Matemàtica)Anàlisi funcionalInequalities (Mathematics)Functional analysis Issue Date: Feb-2010 Publisher: American Mathematical Society (AMS) Abstract: In this paper, we prove some of Rubio de Francia's extrapolation results for the class $B_p$ of weights for which the Hardy operator is bounded on $L^p(w)$ restricted to decreasing functions. Applications to the boundedness of operators on $L^p_{{\rm dec}}(w)$ are given. We also present an extension to the $B_\infty$ case and some connections with classical $A_p$ theory. Note: Reproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9939-09-10040-0 It is part of: Proceedings of the American Mathematical Society, 2010, vol. 138, num. 2, p. 629-640 Related resource: http://dx.doi.org/10.1090/S0002-9939-09-10040-0 URI: http://hdl.handle.net/2445/96338 ISSN: 0002-9939 Appears in Collections: Articles publicats en revistes (Matemàtiques i Informàtica)

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