Interpolating sequences for weighted spaces of analytic functions on the unit ball of a Hilbert space
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Otros documentos de la autoría: Blasco de la Cruz, Oscar; Galindo Pastor, Pablo; Lindström, Mikael; Miralles Montolío, Alejandro
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INVESTIGACIONMetadatos
Título
Interpolating sequences for weighted spaces of analytic functions on the unit ball of a Hilbert spaceAutoría
Fecha de publicación
2018Editor
Springer VerlagISSN
1139-1138; 1988-2807Cita bibliográfica
BLASCO, Oscar, et al. Interpolating sequences for weighted spaces of analytic functions on the unit ball of a Hilbert space. Revista Matemática Complutense, 2018, 1-25Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://link.springer.com/article/10.1007/s13163-018-0271-8Versión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
We 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 ... [+]
We 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. [-]
Publicado en
Revista Matemática Complutense, 2018, p. 1-25Proyecto de investigación
O. 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.Derechos de acceso
"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 2018
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info:eu-repo/semantics/openAccess
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