The HELP inequality on trees

B. Malcolm Brown, Matthias Langer, Karl Michael Schmidt

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

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We establish analogues of Hardy and Littlewood's integro-differential equation for Schrödinger-type operators on metric and discrete trees, based on a generalised strong limit-point property of the graph Laplacian.
Original languageEnglish
Title of host publicationAnalysis on graphs and its applications
EditorsPavel Exner, Jonathan P. Keating, Peter Kutchment, Toshikazu Sunada, Alexander Teplyaev
Number of pages18
Publication statusPublished - 15 Nov 2008

Publication series

NameProceedings of Symposia in Pure Mathematics
PublisherAmerican Mathematical Society
ISSN (Print)0082-0717


  • integro-differential equation
  • schrodinger-type operators
  • metric trees
  • discrete trees


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