On the range space of Yano's extrapolation theorem and new extrapolation estimates at infinity.

Título inglés On the range space of Yano's extrapolation theorem and new extrapolation estimates at infinity.
Título español Sobre el espacio de rango del teorema de extrapolación de Yano y nuevas estimaciones de extrapolación en el infinito.
Autor/es Carro, María Jesús
Organización Dep. Mat. Apl. Anàl. Fac. Mat. Univ. Barcelona, Barcelona, España
Revista 0214-1493
Publicación 2002, 46 (Extra): 27-37, 12 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés Given a sublinear operator T satisfying that ||Tf||Lp(ν) ≤ C/(p-1) ||f||Lp(μ), for every 1 < p ≤ p0, with C independent of f and p, it was proved in [C] that... [check the paper abstract for the formula]

This estimate implies that T: L log L → B, where B is a rearrangement invariant space. The purpose of this note is to give several characterizations of the space B and study its associate space. This last information allows us to formulate an extrapolation result of Zygmund type for linear operators satisfying ||Tf||Lp(ν) ≤ Cp|| f ||Lp(μ), for every p ≥ p0.

[Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].
Clasificación UNESCO 120200
Palabras clave español Análisis funcional ; Extrapolación ; Teorema de Yano ; Operadores acotados
Código MathReviews MR1964814
Código Z-Math Zbl 1028.46107
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