On the Hardy-Littlewood majorant problem for random sets

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dc.creatorMockenhaupt, G.
dc.creatorSchlag, W.
dc.date2002-07-25
dc.date.accessioned2026-07-07T04:49:50Z
dc.date.available2026-07-07T04:49:50Z
dc.descriptionThe Hardy-Littlewood majorant problem asks whether L^p norms of functions on the circle grow if one replaces their Fourier coefficients with their absolute values. This is clear if p is an even integer, but false if p is any other number. One can still ask if the norm grows at most by the degree raised to a small power for any p. We show that this is so with any epsilon power provided the majorizing function is the Dirichlet kernel on a random set, with large probability.
dc.description40 pages
dc.identifierhttps://arxiv.org/abs/math/0207226
dc.identifierhttp://arxiv.org/abs/math/0207226
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64577
dc.subjectClassical Analysis and ODEs
dc.titleOn the Hardy-Littlewood majorant problem for random sets
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