Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/164723
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ortega Cerdà, Joaquim | - |
dc.contributor.author | Seip, Kristian | - |
dc.date.accessioned | 2020-06-08T07:30:29Z | - |
dc.date.available | 2020-06-08T07:30:29Z | - |
dc.date.issued | 2004 | - |
dc.identifier.issn | 0022-2518 | - |
dc.identifier.uri | http://hdl.handle.net/2445/164723 | - |
dc.description.abstract | We 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.extent | 19 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Indiana University | - |
dc.relation.isformatof | Versió preprint del document publicat a: https://doi.org/10.1512/iumj.2004.53.2467 | - |
dc.relation.ispartof | Indiana University Mathematics Journal, 2004, vol. 53, num. 3, p. 905-923 | - |
dc.relation.uri | https://doi.org/10.1512/iumj.2004.53.2467 | - |
dc.rights | (c) Indiana University Mathematics Journal, 2004 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Teoria geomètrica de funcions | - |
dc.subject.classification | Funcions harmòniques | - |
dc.subject.classification | Teoria del potencial (Matemàtica) | - |
dc.subject.other | Geometric function theory | - |
dc.subject.other | Harmonic functions | - |
dc.subject.other | Potential theory (Mathematics) | - |
dc.title | Harmonic measure and uniform densities | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/submittedVersion | - |
dc.identifier.idgrec | 512389 | - |
dc.date.updated | 2020-06-08T07:30:29Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
512389.pdf | 310.93 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.