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http://hdl.handle.net/2445/96338
Title: | Rubio de Francia's extrapolation theorem for $B_{p}$ weights |
Author: | Carro Rossell, María Jesús Lorente, M. |
Keywords: | Desigualtats (Matemàtica) Anàlisi funcional Inequalities (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 |
URI: | http://hdl.handle.net/2445/96338 |
Related resource: | http://dx.doi.org/10.1090/S0002-9939-09-10040-0 |
ISSN: | 0002-9939 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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580657.pdf | 198.41 kB | Adobe PDF | View/Open |
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