A weak L^2 estimate for a maximal dyadic sum operator on R^n

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dc.creatorPramanik, Malabika
dc.creatorTerwilleger, Erin
dc.date2002-11-22
dc.date.accessioned2026-07-07T04:53:13Z
dc.date.available2026-07-07T04:53:13Z
dc.descriptionLacey and Thiele have recently obtained a new proof of Carleson's theorem on almost everywhere convergence of Fourier series. This paper is a generalization of their techniques (known broadly as time-frequency analysis) to higher dimensions. In particular, a weak-type (2,2) estimate is derived for a maximal dyadic sum operator on R^n, n > 1. As an application one obtains a new proof of Sjölin's theorem on weak L^2 estimates for the maximal conjugated Calderón-Zygmund operator on R^n.
dc.description39 pages. Illinois Journal of Mathematics, to appear
dc.identifierhttps://arxiv.org/abs/math/0211363
dc.identifierhttp://arxiv.org/abs/math/0211363
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65759
dc.subjectClassical Analysis and ODEs
dc.subject42B20;42B25
dc.titleA weak L^2 estimate for a maximal dyadic sum operator on R^n
dc.typetext

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