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A Hölder-type inequality on a regular rooted tree
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dc.contributor.author | Falconer, Kenneth John | |
dc.date.accessioned | 2015-10-15T23:11:19Z | |
dc.date.available | 2015-10-15T23:11:19Z | |
dc.date.issued | 2015-03-15 | |
dc.identifier | 152716415 | |
dc.identifier | 9d6fb927-a4d9-4d76-bf32-2796c14d0499 | |
dc.identifier | 84922567729 | |
dc.identifier | 000359756100005 | |
dc.identifier.citation | Falconer , 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.2014.10.030 | en |
dc.identifier.issn | 0022-247X | |
dc.identifier.other | ORCID: /0000-0001-8823-0406/work/58055265 | |
dc.identifier.uri | https://hdl.handle.net/10023/7658 | |
dc.description.abstract | We 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.extent | 11 | |
dc.format.extent | 341547 | |
dc.language.iso | eng | |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications | en |
dc.subject | Hölder-type inequality | en |
dc.subject | Rooted tree | en |
dc.subject | Automorphism | en |
dc.subject | Energy | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.title | A Hölder-type inequality on a regular rooted tree | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.identifier.doi | 10.1016/j.jmaa.2014.10.030 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2015-10-16 | |
dc.identifier.url | http://www.sciencedirect.com/science/article/pii/S0022247X14009573# | en |
dc.identifier.url | http://arxiv.org/pdf/1410.6351.pdf | en |
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