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Bloch functions on the unit ball of an infinite dimensional Hilbert space

dc.contributor.authorBlasco de la Cruz, Oscar
dc.contributor.authorGalindo Pastor, Pablo
dc.contributor.authorMiralles Montolío, Alejandro
dc.date.accessioned2015-07-03T11:14:25Z
dc.date.available2015-07-03T11:14:25Z
dc.date.issued2015-07-03
dc.identifier.issn0022-1236
dc.identifier.urihttp://hdl.handle.net/10234/126206
dc.description.abstractThe 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.extent13 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.relation.isPartOfJournal of Functional Analysis, 2014, 267.4: 1188-1204ca_CA
dc.rightsCopyright © 2014 Elsevier B.V. or its licensors or contributors. ScienceDirect® is a registered trademark of Elsevier B.V.ca_CA
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/*
dc.subjectBloch functionca_CA
dc.subjectInfinite dimensional holomorphyca_CA
dc.titleBloch functions on the unit ball of an infinite dimensional Hilbert spaceca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doi10.1016/j.jfa.2014.04.018
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttp://www.sciencedirect.com/science/article/pii/S0022123614001888ca_CA
dc.editionPre-printca_CA
dc.type.versioninfo:eu-repo/semantics/sumittedVersion


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