Carro Rossell, María JesúsLorente, M.2016-03-102016-03-102010-020002-9939https://hdl.handle.net/2445/96338In 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.12 p.application/pdfeng(c) American Mathematical Society (AMS), 2010Desigualtats (Matemàtica)Anàlisi funcionalInequalities (Mathematics)Functional analysisRubio de Francia's extrapolation theorem for $B_{p}$ weightsinfo:eu-repo/semantics/article5806572016-03-10info:eu-repo/semantics/openAccess