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Rubio de Francia's extrapolation theorem for $B_{p}$ weights
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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.
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CARRO ROSSELL, María Jesús and LORENTE, M. Rubio de Francia's extrapolation theorem for $B_{p}$ weights. Proceedings of the American Mathematical Society. 2010. Vol. 138, num. 2, pags. 629-640. ISSN 0002-9939. [consulted: 15 of June of 2026]. Available at: https://hdl.handle.net/2445/96338