The $\mathcal{Q}_p$ Carleson Measure Problem

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dc.creatorXiao, Jie
dc.date2007-08-27
dc.date.accessioned2026-07-07T08:25:54Z
dc.date.available2026-07-07T08:25:54Z
dc.descriptionLet $μ$ be a nonnegative Borel measure on the open unit disk $\mathbb{D}\subset\mathbb{C}$. This note shows how to decide that the Möbius invariant space $\mathcal{Q}_p$, covering $\mathcal{BMOA}$ and $\mathcal{B}$, is boundedly (resp., compactly) embedded in the quadratic tent-type space $T^\infty_p(μ)$. Interestingly, the embedding result can be used to determine the boundedness (resp., the compactness) of the Volterra-type and multiplication operators on $\mathcal{Q}_p$.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0708.3621
dc.identifierhttp://arxiv.org/abs/0708.3621
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136773
dc.subjectComplex Variables
dc.subjectFunctional Analysis
dc.subject28, 30C, 30H, 47B, 47G
dc.titleThe $\mathcal{Q}_p$ Carleson Measure Problem
dc.typetext

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