Interpolating sequences for weighted spaces of analytic functions on the unit ball of a Hilbert space
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Altres documents de l'autoria: Blasco de la Cruz, Oscar; Galindo Pastor, Pablo; Lindström, Mikael; Miralles Montolío, Alejandro
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INVESTIGACIONMetadades
Títol
Interpolating sequences for weighted spaces of analytic functions on the unit ball of a Hilbert spaceAutoria
Data de publicació
2018Editor
Springer VerlagISSN
1139-1138; 1988-2807Cita bibliogràfica
BLASCO, Oscar, et al. Interpolating sequences for weighted spaces of analytic functions on the unit ball of a Hilbert space. Revista Matemática Complutense, 2018, 1-25Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://link.springer.com/article/10.1007/s13163-018-0271-8Versió
info:eu-repo/semantics/acceptedVersionParaules clau / Matèries
Resum
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. [-]
Publicat a
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.Drets d'accés
"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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