Title:
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Rubio de Francia's extrapolation theorem for $B_{p}$ weights
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Author:
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Carro Rossell, María Jesús; Lorente, M.
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Other authors:
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Universitat de Barcelona |
Abstract:
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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. |
Subject(s):
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-Desigualtats (Matemàtica) -Anàlisi funcional -Inequalities (Mathematics) -Functional analysis |
Rights:
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(c) American Mathematical Society (AMS), 2010
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Document type:
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Article Article - Published version |
Published by:
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American Mathematical Society (AMS)
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