Compact composition operators on $H^2$ and Hardy-Orlicz spaces

Simple item page
dc.creatorLefevre, Pascal
dc.creatorLi, Daniel
dc.creatorQueffelec, Herve
dc.creatorRodriguez-Piazzaa, Luis
dc.date2008-06-25
dc.date.accessioned2026-07-07T09:46:50Z
dc.date.available2026-07-07T09:46:50Z
dc.descriptionWe compare the compactness of composition operators on $H^2$ and on Orlicz-Hardy spaces $H^Ψ$. We show in particular that exists an Orlicz function $Ψ$ such that $H^{3+\eps} \subseteq H^Ψ\subseteq H^3$ for every $\eps >0$, and a composition operator $C_ϕ$ which is compact on $H^3$ and on $H^{3+\eps}$, but not compact on $H^Ψ$.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0806.4206
dc.identifierhttp://arxiv.org/abs/0806.4206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163667
dc.subjectFunctional Analysis
dc.subject47B33; 47B10
dc.titleCompact composition operators on $H^2$ and Hardy-Orlicz spaces
dc.typetext

Files

Collections

arXiv