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Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/164723
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dc.contributor.authorOrtega Cerdà, Joaquim-
dc.contributor.authorSeip, Kristian-
dc.date.accessioned2020-06-08T07:30:29Z-
dc.date.available2020-06-08T07:30:29Z-
dc.date.issued2004-
dc.identifier.issn0022-2518-
dc.identifier.urihttp://hdl.handle.net/2445/164723-
dc.description.abstractWe study two problems concerning harmonic measure on certain 'champagne subdomains' of the unit disk $\D$. The domains that we consider are obtained by removing from $\D$ little disks around sequences of points with a uniform distribution with respect to the pseudohyperbolic metric of $\D$. We find (I) a necessary and sufficient condition on the decay of the radii of the little disks for the exterior boundary to have positive harmonic measure, and (II) describe sampling and interpolating sequences for Bergman spaces in terms of the harmonic measure on such 'champagne subdomains'.-
dc.format.extent19 p.-
dc.format.mimetypeapplication/pdf-
dc.language.isoeng-
dc.publisherIndiana University-
dc.relation.isformatofVersió preprint del document publicat a: https://doi.org/10.1512/iumj.2004.53.2467-
dc.relation.ispartofIndiana University Mathematics Journal, 2004, vol. 53, num. 3, p. 905-923-
dc.relation.urihttps://doi.org/10.1512/iumj.2004.53.2467-
dc.rights(c) Indiana University Mathematics Journal, 2004-
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)-
dc.subject.classificationTeoria geomètrica de funcions-
dc.subject.classificationFuncions harmòniques-
dc.subject.classificationTeoria del potencial (Matemàtica)-
dc.subject.otherGeometric function theory-
dc.subject.otherHarmonic functions-
dc.subject.otherPotential theory (Mathematics)-
dc.titleHarmonic measure and uniform densities-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/submittedVersion-
dc.identifier.idgrec512389-
dc.date.updated2020-06-08T07:30:29Z-
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess-
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