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Interpolating sequences for weighted spaces of analytic functions on the unit ball of a Hilbert space

dc.contributor.authorBlasco de la Cruz, Oscar
dc.contributor.authorGalindo Pastor, Pablo
dc.contributor.authorLindström, Mikael
dc.contributor.authorMiralles Montolío, Alejandro
dc.date.accessioned2018-11-13T16:31:45Z
dc.date.available2018-11-13T16:31:45Z
dc.date.issued2018
dc.identifier.citationBLASCO, Oscar, et al. Interpolating sequences for weighted spaces of analytic functions on the unit ball of a Hilbert space. Revista Matemática Complutense, 2018, 1-25ca_CA
dc.identifier.issn1139-1138
dc.identifier.issn1988-2807
dc.identifier.urihttp://hdl.handle.net/10234/177452
dc.description.abstractWe show that an interpolating sequence for the weighted Banach space of analytic functions on the unit ball of a Hilbert space is hyperbolically separated. In the case of the so-called standard weights, a su cient condition for a sequence to be linear interpolating is given in terms of Carleson type measures. Other conditions to be linearly interpolating are provided as well. Our results apply to the space of Bloch functions of such unit ball.ca_CA
dc.format.extent21 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherSpringer Verlagca_CA
dc.relation.isPartOfRevista Matemática Complutense, 2018, p. 1-25ca_CA
dc.rights"This is a post-peer-review, pre-copyedit version of an article published in Revista Matemática Complutense. The final authenticated version is available online at: https://doi.org/10.1007/s13163-018-0271-8". © Universidad Complutense de Madrid 2018ca_CA
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/*
dc.subjectinterpolating sequenceca_CA
dc.subjecthyperbolically separatedca_CA
dc.subjectbloch function in the ballca_CA
dc.subjectinfinite dimensional holomorphyca_CA
dc.subjectweighted space of analytic functionsca_CA
dc.titleInterpolating sequences for weighted spaces of analytic functions on the unit ball of a Hilbert spaceca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttps://doi.org/10.1007/s13163-018-0271-8
dc.relation.projectIDO. Blasco: partially supported by MTM2014-53009-P. P. Galindo: partially supported by MTM2014-53241-P. M. Lindström: partially supported by MTM2014-53241-P and the Academy of Finland project 296718. A. Miralles: partially supported by MTM2014-53241-P, P1-1B2014-35 and AICO/2016/030.ca_CA
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttps://link.springer.com/article/10.1007/s13163-018-0271-8ca_CA
dc.date.embargoEndDate2019-08-01
dc.type.versioninfo:eu-repo/semantics/acceptedVersionca_CA


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