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

Carro, María Jesús. "On the range space of Yano's extrapolation theorem and new extrapolation estimates at infinity.." Publicacions Matemàtiques 46.Extra (2002): 27-37. <http://eudml.org/doc/41816>.

@article{Carro2002,
abstract = {Given a sublinear operator T satisfying that ||Tf||Lp(ν) ≤ C/(p-1) ||f||Lp(μ), for every 1 &lt; 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].},
author = {Carro, María Jesús},
journal = {Publicacions Matemàtiques},
keywords = {Análisis funcional; Extrapolación; Teorema de Yano; Operadores acotados; extrapolation; endpoint estimates},
language = {eng},
number = {Extra},
pages = {27-37},
title = {On the range space of Yano's extrapolation theorem and new extrapolation estimates at infinity.},
url = {http://eudml.org/doc/41816},
volume = {46},
year = {2002},
}

TY - JOUR
AU - Carro, María Jesús
TI - On the range space of Yano's extrapolation theorem and new extrapolation estimates at infinity.
JO - Publicacions Matemàtiques
PY - 2002
VL - 46
IS - Extra
SP - 27
EP - 37
AB - Given a sublinear operator T satisfying that ||Tf||Lp(ν) ≤ C/(p-1) ||f||Lp(μ), for every 1 &lt; 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].
LA - eng
KW - Análisis funcional; Extrapolación; Teorema de Yano; Operadores acotados; extrapolation; endpoint estimates
UR - http://eudml.org/doc/41816
ER -