Título:
|
Rubio de Francia's extrapolation theorem for $B_{p}$ weights
|
Autor/a:
|
Carro Rossell, María Jesús; Lorente, M.
|
Otros autores:
|
Universitat de Barcelona |
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. |
Materia(s):
|
-Desigualtats (Matemàtica) -Anàlisi funcional -Inequalities (Mathematics) -Functional analysis |
Derechos:
|
(c) American Mathematical Society (AMS), 2010
|
Tipo de documento:
|
Artículo Artículo - Versión publicada |
Editor:
|
American Mathematical Society (AMS)
|
Compartir:
|
|