Rubio de Francia's extrapolation theorem for $B_{p}$ weights

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dc.contributor	Universitat de Barcelona
dc.contributor.author	Carro Rossell, María Jesús
dc.contributor.author	Lorente, M.
dc.date	2016-03-10T09:43:08Z
dc.date	2016-03-10T09:43:08Z
dc.date	2010-02
dc.date	2016-03-10T09:43:14Z
dc.identifier.citation	0002-9939
dc.identifier.citation	580657
dc.identifier.uri	http://hdl.handle.net/2445/96338
dc.format	12 p.
dc.format	application/pdf
dc.language.iso	eng
dc.publisher	American Mathematical Society (AMS)
dc.relation	Reproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9939-09-10040-0
dc.relation	Proceedings of the American Mathematical Society, 2010, vol. 138, num. 2, p. 629-640
dc.relation	http://dx.doi.org/10.1090/S0002-9939-09-10040-0
dc.rights	(c) American Mathematical Society (AMS), 2010
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Desigualtats (Matemàtica)
dc.subject	Anàlisi funcional
dc.subject	Inequalities (Mathematics)
dc.subject	Functional analysis
dc.title	Rubio de Francia's extrapolation theorem for $B_{p}$ weights
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.description.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.