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Rubio de Francia's extrapolation theorem for $B_p$ weights.
- Source :
-
Proceedings of the American Mathematical Society . Oct2009, Vol. 138 Issue 2, p629-640. 12p. - Publication Year :
- 2009
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 138
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 44864874
- Full Text :
- https://doi.org/10.1090/S0002-9939-09-10040-0