# Hardy space estimates for multilinear operators (II).

Revista Matemática Iberoamericana (1992)

- Volume: 8, Issue: 1, page 69-92
- ISSN: 0213-2230

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topGrafakos, Loukas. "Hardy space estimates for multilinear operators (II).." Revista Matemática Iberoamericana 8.1 (1992): 69-92. <http://eudml.org/doc/39411>.

@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 -

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