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Bloch functions on the unit ball of an infinite dimensional Hilbert space
dc.contributor.author | Blasco de la Cruz, Oscar | |
dc.contributor.author | Galindo Pastor, Pablo | |
dc.contributor.author | Miralles Montolío, Alejandro | |
dc.date.accessioned | 2015-07-03T11:14:25Z | |
dc.date.available | 2015-07-03T11:14:25Z | |
dc.date.issued | 2015-07-03 | |
dc.identifier.issn | 0022-1236 | |
dc.identifier.uri | http://hdl.handle.net/10234/126206 | |
dc.description.abstract | The Bloch space has been studied on the open unit disk of C and some homogeneous domains of Cn. We define Bloch functions on the open unit ball of a Hilbert space E and prove that the corresponding space B(BE) is invariant under composition with the automorphisms of the ball, leading to a norm that — modulo the constant functions — is automorphism invariant as well. All bounded analytic functions on BE are also Bloch functions. | ca_CA |
dc.format.extent | 13 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.relation.isPartOf | Journal of Functional Analysis, 2014, 267.4: 1188-1204 | ca_CA |
dc.rights | Copyright © 2014 Elsevier B.V. or its licensors or contributors. ScienceDirect® is a registered trademark of Elsevier B.V. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | Bloch function | ca_CA |
dc.subject | Infinite dimensional holomorphy | ca_CA |
dc.title | Bloch functions on the unit ball of an infinite dimensional Hilbert space | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | 10.1016/j.jfa.2014.04.018 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://www.sciencedirect.com/science/article/pii/S0022123614001888 | ca_CA |
dc.edition | Pre-print | ca_CA |
dc.type.version | info:eu-repo/semantics/sumittedVersion |
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