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A Hölder-type inequality on a regular rooted tree

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dc.contributor.authorFalconer, Kenneth John
dc.date.accessioned2015-10-15T23:11:19Z
dc.date.available2015-10-15T23:11:19Z
dc.date.issued2015-03-15
dc.identifier.citationFalconer , K J 2015 , ' A Hölder-type inequality on a regular rooted tree ' , Journal of Mathematical Analysis and Applications , vol. 423 , no. 2 , pp. 913-923 . https://doi.org/10.1016/j.jmaa.2014.10.030en
dc.identifier.issn0022-247X
dc.identifier.otherPURE: 152716415
dc.identifier.otherPURE UUID: 9d6fb927-a4d9-4d76-bf32-2796c14d0499
dc.identifier.otherScopus: 84922567729
dc.identifier.otherORCID: /0000-0001-8823-0406/work/58055265
dc.identifier.otherWOS: 000359756100005
dc.identifier.urihttps://hdl.handle.net/10023/7658
dc.description.abstractWe establish an inequality which involves a non-negative function defined on the vertices of a finite m-ary regular rooted tree. The inequality may be thought of as relating an interaction energy defined on the free vertices of the tree summed over automorphisms of the tree, to a product of sums of powers of the function over vertices at certain levels of the tree. Conjugate powers arise naturally in the inequality, indeed, Hölder's inequality is a key tool in the proof which uses induction on subgroups of the automorphism group of the tree.
dc.format.extent11
dc.language.isoeng
dc.relation.ispartofJournal of Mathematical Analysis and Applicationsen
dc.rights© 2014. Elsevier Ltd. All rights reserved. This is the author’s version of a work that was accepted for publication in Journal of Mathematical Analysis and Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Mathematical Analysis and Applications 16 October 2014 DOI 10.1016/j.jmaa.2014.10.030en
dc.subjectHölder-type inequalityen
dc.subjectRooted treeen
dc.subjectAutomorphismen
dc.subjectEnergyen
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subject.lccQAen
dc.titleA Hölder-type inequality on a regular rooted treeen
dc.typeJournal articleen
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doihttps://doi.org/10.1016/j.jmaa.2014.10.030
dc.description.statusPeer revieweden
dc.date.embargoedUntil2015-10-16
dc.identifier.urlhttp://www.sciencedirect.com/science/article/pii/S0022247X14009573#en
dc.identifier.urlhttp://arxiv.org/pdf/1410.6351.pdfen


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