Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/7726
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dc.contributor.authorMassaneda Clares, Francesc Xaviercat
dc.contributor.authorThomas, Pascal J.cat
dc.date.accessioned2009-04-14T08:32:05Z-
dc.date.available2009-04-14T08:32:05Z-
dc.date.issued2000cat
dc.identifier.issn1088-6826cat
dc.identifier.urihttp://hdl.handle.net/2445/7726-
dc.description.abstractWe show that a sequence a:= {ak}k in the unit ball of Cn is sampling for the Hardy spaces Hp, 0 < p < ∞ , if and only if the admissible accumulation set of a in the unit sphere has full measure. For p = ∞ the situation is quite different. While this condition is still sufficient, when n > 1 (in contrast to the one dimensional situation) there exist sampling sequences for H∞ whose admissible accumulation set has measure 0. We also consider the sequence a(ω ) obtained by applying to each ak a random rotation, and give a necessary and sufficient condition on {|ak|}k so that, with probability one, a(ω ) is of sampling for Hp, p < ∞ .-
dc.format.extent8 p.cat
dc.format.mimetypeapplication/pdfeng
dc.language.isoengeng
dc.publisherAmerican Mathematical Societyeng
dc.relation.isformatofReproducció digital del document publicat en format paper, proporcionada per JSTOR http://www.jstor.org/stable/119748cat
dc.relation.ispartofProceedings of the American Mathematical Society, 2000, vol. 128, núm. 3, p. 837-843.cat
dc.rights(c) American Mathematical Society, 2000cat
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)-
dc.subject.classificationFuncions holomorfescat
dc.subject.classificationEspais de Hardycat
dc.subject.otherHolomorphic functionseng
dc.subject.otherSeries expansionseng
dc.titleSampling sequences for Hardy spaces of the balleng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.identifier.idgrec508712cat
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess-
Appears in Collections:Articles publicats en revistes (Matemàtiques i Informàtica)

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