Bohr phenomena for Laplace-Beltrami operators

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dc.citation.epage423en_US
dc.citation.issueNumber3en_US
dc.citation.spage407en_US
dc.citation.volumeNumber17en_US
dc.contributor.authorKaptanoğlu, Hakkı Turgayen_US
dc.date.accessioned2016-02-08T10:18:04Z
dc.date.available2016-02-08T10:18:04Z
dc.date.issued2006en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractWe investigate a Bohr phenomenon on the spaces of solutions of weighted Laplace-Beltrami operators associated with the hyperbolic metric of the unit ball in ℂN. These solutions do not satisfy the usual maximum principle, and the spaces have natural bases none of whose members is a constant function. We show that these bases exhibit a Bohr phenomenon, define a Bohr radius for them that extends the classical Bohr radius, and compute it exactly. We also compute the classical Bohr radius of the invariant harmonic functions on the real hyperbolic space.en_US
dc.identifier.doi10.1016/S0019-3577(06)80041-8en_US
dc.identifier.issn193577
dc.identifier.urihttp://hdl.handle.net/11693/23713
dc.language.isoEnglishen_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/S0019-3577(06)80041-8en_US
dc.source.titleIndagationes Mathematicaeen_US
dc.subjectBohr radiusen_US
dc.subjectGeneralized Poisson kernelen_US
dc.subjectHarnack inequalityen_US
dc.subjectInvariant harmonicen_US
dc.subjectMaximum principleen_US
dc.subjectReal hyperbolic spaceen_US
dc.subjectSpherical harmonicsen_US
dc.subjectWeighted Laplace-Beltrami operatoren_US
dc.titleBohr phenomena for Laplace-Beltrami operatorsen_US
dc.typeArticleen_US
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