Para acceder a los documentos con el texto completo, por favor, siga el siguiente enlace: http://hdl.handle.net/2445/132424

Título:	On the range space of Yano's extrapolation theorem and new extrapolation estimates at infinity.
Autor/a:	Carro Rossell, María Jesús
Otros autores:	Universitat de Barcelona
Abstract:	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 sup r>0 ! ∞ 1/r λν T f (y) dy 1 + log+ r ! ' M |f(x)|(1 + log+ |f(x)|) dµ(x). 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.
Materia(s):	-Anàlisi harmònica -Teoria d'operadors -Harmonic analysis -Operator theory
Derechos:	(c) Universitat Autònoma de Barcelona, 2002
Tipo de documento:	Artículo Artículo - Versión publicada
Editor:	Universitat Autònoma de Barcelona
Compartir:

Mostrar el registro completo del ítem