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

Publicacions Matemàtiques (2002)

- Volume: 46, Issue: Extra, page 27-37
- ISSN: 0214-1493

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topCarro, 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 < 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 < 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 -

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