Hardy space estimates for multilinear operators (II).

@article{Grafakos1992,
abstract = {We continue the study of multilinear operators given by products of finite vectors of Calderón-Zygmund operators. We determine the set of all r ≤ 1 for which these operators map products of Lebesgue spaces Lp(Rn) into the Hardy spaces Hr(Rn). At the endpoint case r = n/(n + m + 1), where m is the highest vanishing moment of the multilinear operator, we prove a weak type result.},
author = {Grafakos, Loukas},
journal = {Revista Matemática Iberoamericana},
keywords = {Espacios de Hardy; Conjuntos de Lebesgue; Convergencia débil; Operadores lineales; multilinear operators; products of finite vectors of Calderón-Zygmund operators; moment},
language = {eng},
number = {1},
pages = {69-92},
title = {Hardy space estimates for multilinear operators (II).},
url = {http://eudml.org/doc/39411},
volume = {8},
year = {1992},
}

TY - JOUR
AU - Grafakos, Loukas
TI - Hardy space estimates for multilinear operators (II).
JO - Revista Matemática Iberoamericana
PY - 1992
VL - 8
IS - 1
SP - 69
EP - 92
AB - We continue the study of multilinear operators given by products of finite vectors of Calderón-Zygmund operators. We determine the set of all r ≤ 1 for which these operators map products of Lebesgue spaces Lp(Rn) into the Hardy spaces Hr(Rn). At the endpoint case r = n/(n + m + 1), where m is the highest vanishing moment of the multilinear operator, we prove a weak type result.
LA - eng
KW - Espacios de Hardy; Conjuntos de Lebesgue; Convergencia débil; Operadores lineales; multilinear operators; products of finite vectors of Calderón-Zygmund operators; moment
UR - http://eudml.org/doc/39411
ER -