Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces.

Título inglés	Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces.
Título español	Extrapolación y estimaciones de la norma precisas para operadores clásicos en espacios de Lebesgue ponderados.
Autor/es	Dragicevic, Oliver ; Grafakos, Loukas ; Pereyra, María Cristina ; Petermichl, Stefanie
Organización	Scuola Normale Superiore, Pisa, Italia;Dep. Math. Univ. Missouri, Columbia MO, Estados Unidos;Dep. Math. Statisitics Univ. New Mexico, Albuquerque NM, Estados Unidos;Dep Math. Brown Univ., Providence, Estados Unidos
Revista	0214-1493
Publicación	2005, 49(1): 73-91, 26 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	We obtain sharp weighted Lp estimates in the Rubio de Francia extrapolation theorem in terms of the Ap characteristic constant of the weight. Precisely, if for a given 1 < r < infinity the norm of a sublinear operator on Lr(w)$ is bounded by a function of the Ar characteristic constant of the weight w, then for p > r it is bounded on Lp(v) by the same increasing function of the Ap characteristic constant of v, and for p < r it is bounded on Lp(v) by the same increasing function of the (r-1)/(p-1) power of the Ap characteristic constant of v. For some operators these bounds are sharp, but not always. In particular, we show that they are sharp for the Hilbert, Beurling, and martingale transforms.
Clasificación UNESCO	120213
Palabras clave español	Operadores integrales ; Integrales singulares ; Acotación ; Extrapolación ; Espacios de Lebesgue
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