The Marcinkiewicz multiplier condition for bilinear operators

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dc.creatorGrafakos, Loukas
dc.creatorKalton, Nigel
dc.date2000-10-08
dc.date.accessioned2026-07-07T04:37:54Z
dc.date.available2026-07-07T04:37:54Z
dc.descriptionThis article is concerned with the question of whether Marcinkiewicz multipliers on $\mathbb R^{2n}$ give rise to bilinear multipliers on $\mathbb R^n\times \mathbb R^n$. We show that this is not always the case. Moreover we find necessary and sufficient conditions for such bilinear multipliers to be bounded. These conditions in particular imply that a slight logarithmic modification of the Marcinkiewicz condition gives multipliers for which the corresponding bilinear operators are bounded on products of Lebesgue and Hardy spaces.
dc.description42 pages
dc.identifierhttps://arxiv.org/abs/math/0010076
dc.identifierhttp://arxiv.org/abs/math/0010076
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60078
dc.subjectFunctional Analysis
dc.subject42B20
dc.titleThe Marcinkiewicz multiplier condition for bilinear operators
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