L^p bounds for a maximal dyadic sum operator

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dc.creatorGrafakos, Loukas
dc.creatorTao, Terence
dc.creatorTerwilleger, Erin
dc.date2002-12-11
dc.date.accessioned2026-07-07T04:53:43Z
dc.date.available2026-07-07T04:53:43Z
dc.descriptionWe prove $L^p$ bounds in the range $1<p<\infty$ for a maximal dyadic sum operator on $\rn$. This maximal operator provides a discrete multidimensional model of Carleson's operator. Its boundedness is obtained by a simple twist of the proof of Carleson's theorem given by Lacey and Thiele, adapted in higher dimensions by Pramanik and Terwilleger. In dimension one, the $\lp$ boundedness of this maximal dyadic sum implies in particular an alternative proof of Hunt's extension of Carleson's theorem on almost everywhere convergence of Fourier integrals.
dc.description16 pages, no figures, submitted, Math. Z
dc.identifierhttps://arxiv.org/abs/math/0212164
dc.identifierhttp://arxiv.org/abs/math/0212164
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65963
dc.subjectClassical Analysis and ODEs
dc.subject42A20; 42A24
dc.titleL^p bounds for a maximal dyadic sum operator
dc.typetext

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