Rubio de Francia’s extrapolation theorem for $B_p$ weights
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- by María J. Carro and María Lorente PDF
- Proc. Amer. Math. Soc. 138 (2010), 629-640 Request permission
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 $L^p_{\textrm {dec}}(w)$ are given. We also present an extension to the $B_\infty$ case and some connections with classical $A_p$ theory.References
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Additional Information
- María J. Carro
- Affiliation: Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, 08071 Barcelona, Spain
- Email: carro@ub.edu
- María Lorente
- Affiliation: Departamento de Análisis Matemático, Universidad de Málaga, 29071 Málaga, Spain
- Email: lorente@anamat.cie.uma.es
- Received by editor(s): March 30, 2009
- Received by editor(s) in revised form: May 8, 2009
- Published electronically: September 10, 2009
- Additional Notes: This work was supported by MTM2007-60500, by CURE 2005SGR00556 and MTM2005-08350-C03-02, and by Junta de Andalucía FQM354 and P06-FQM-01509.
- Communicated by: Nigel J. Kalton
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 629-640
- MSC (2000): Primary 26D10, 46E20
- DOI: https://doi.org/10.1090/S0002-9939-09-10040-0
- MathSciNet review: 2557180