dc.contributor.author
Ortega Cerdà, Joaquim
dc.contributor.author
Seip, Kristian
dc.date.issued
2020-06-08T07:30:29Z
dc.date.issued
2020-06-08T07:30:29Z
dc.date.issued
2020-06-08T07:30:29Z
dc.identifier
https://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
application/pdf
dc.publisher
Indiana University
dc.relation
Versió preprint del document publicat a: https://doi.org/10.1512/iumj.2004.53.2467
dc.relation
Indiana University Mathematics Journal, 2004, vol. 53, num. 3, p. 905-923
dc.relation
https://doi.org/10.1512/iumj.2004.53.2467
dc.rights
(c) Indiana University Mathematics Journal, 2004
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Teoria geomètrica de funcions
dc.subject
Funcions harmòniques
dc.subject
Teoria del potencial (Matemàtica)
dc.subject
Geometric function theory
dc.subject
Harmonic functions
dc.subject
Potential theory (Mathematics)
dc.title
Harmonic measure and uniform densities
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/submittedVersion
