The weak-type (1,1) of L \log L homogeneous convolution operators

dc.creatorTao, Terence
dc.date1999-03-29
dc.date1999-09-06
dc.date.accessioned2026-07-07T05:28:31Z
dc.date.available2026-07-07T05:28:31Z
dc.descriptionWe show that a homogeneous convolution kernel on an arbitrary homogeneous group which is L \log L on the unit annulus is bounded on L^p for 1 < p < \infty and is of weak-type (1,1), generalizing the result of Seeger. The proof is in a similar spirit to that of Christ and Rubio de Francia.
dc.description28 pages, no figures, to appear Indiana Math J., final version
dc.identifierhttps://arxiv.org/abs/math/9903165
dc.identifierhttp://arxiv.org/abs/math/9903165
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78283
dc.subjectClassical Analysis and ODEs
dc.subject42B20
dc.titleThe weak-type (1,1) of L \log L homogeneous convolution operators
dc.typetext

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