A remark on circular means of Fourier transforms of measures

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dc.creatorTao, Terence
dc.date2000-01-06
dc.date2000-07-11
dc.date.accessioned2026-07-07T04:33:13Z
dc.date.available2026-07-07T04:33:13Z
dc.descriptionIn a recent paper of Wolff the optimal decay of circular L^p means of compactly supported measures of finite energy was given for p>=2, with application to Falconer's distance problem. The question was then raised in that paper as to whether any non-trivial improvement to these estimates were available for p < 2. We answer this question in the negative.
dc.descriptionThe proof of the main result in this paper is incorrect, and this paper has been withdrawn
dc.identifierhttps://arxiv.org/abs/math/0001030
dc.identifierhttp://arxiv.org/abs/math/0001030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58493
dc.subjectClassical Analysis and ODEs
dc.subject42B10, 28A75
dc.titleA remark on circular means of Fourier transforms of measures
dc.typetext

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