Note on potential theory for functions in Hardy classes

Simple item page
dc.creatorTruong, Tuyen Trung
dc.date2008-11-30
dc.date.accessioned2026-07-07T12:08:08Z
dc.date.available2026-07-07T12:08:08Z
dc.descriptionThe purpose of this note is to show that the set functions defined in \cite{trong-tuyen} can be suitably extended to all subsets $E$ of the unit disk $\mathbb{D}$. In particular we obtain uniform nearly-optimal estimates for the following quantity D_p(E,ε, R) = \sup \{\sup_{|z| \leq R}|g(z)|: g\in H^p, ||g||_{H^p}\leq 1, (1-|ζ|)|g(ζ)| \leq ε\forall ζ\in E\}.
dc.description3 pages
dc.identifierhttps://arxiv.org/abs/0812.0076
dc.identifierhttp://arxiv.org/abs/0812.0076
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209215
dc.subjectComplex Variables
dc.subject30D15, 31A15, 44A10, 65F22
dc.titleNote on potential theory for functions in Hardy classes
dc.typetext

Files

Collections

arXiv