Trigonometric quasi-greedy bases for $L^p(\bT;w)$

Simple item page
dc.creatorNielsen, Morten
dc.date2006-11-28
dc.date.accessioned2026-07-07T07:33:27Z
dc.date.available2026-07-07T07:33:27Z
dc.descriptionWe give a complete characterization of $2π$-periodic weights $w$ for which the usual trigonometric system forms a quasi-greedy basis for $L^p(\bT;w)$, i.e., bases for which simple thresholding approximants converge in norm. The characterization implies that this can happen only for $p=2$ and whenever the system forms a quasi-greedy basis, the basis must actually be a Riesz basis.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0611892
dc.identifierhttp://arxiv.org/abs/math/0611892
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119464
dc.subjectFunctional Analysis
dc.subject42C15
dc.titleTrigonometric quasi-greedy bases for $L^p(\bT;w)$
dc.typetext

Files

Collections

arXiv