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Remarks about Hardy inequalities on metric trees

Ekholm, Tomas LU ; Frank, Rupert L. and Kovarik, Hynek (2008) Analysis on Graphs and Its Applications Program 77. p.369-379
Abstract
We find sharp conditions on the growth of a rooted regular metric tree Such that the Neumann Laplacian on the tree satisfies a Hardy inequality. In particular, we consider homogeneous metric trees. Moreover, we show that a non-trivial Aharonov-Bohm magnetic field leads to a Hardy inequality on a loop graph.
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Laplace operator, metric tree, Hardy inequality
host publication
Analysis on Graphs and Its Applications
volume
77
pages
369 - 379
publisher
American Mathematical Society (AMS)
conference name
Analysis on Graphs and Its Applications Program
conference dates
2007-01-08 - 2007-06-29
external identifiers
  • wos:000258750500020
ISSN
0082-0717
ISBN
9780821844717
language
English
LU publication?
yes
id
ed210e74-3d5d-40fd-8839-c2d06f11f9db (old id 1406095)
date added to LUP
2016-04-01 13:28:41
date last changed
2018-11-21 20:16:29
@inproceedings{ed210e74-3d5d-40fd-8839-c2d06f11f9db,
  abstract     = {{We find sharp conditions on the growth of a rooted regular metric tree Such that the Neumann Laplacian on the tree satisfies a Hardy inequality. In particular, we consider homogeneous metric trees. Moreover, we show that a non-trivial Aharonov-Bohm magnetic field leads to a Hardy inequality on a loop graph.}},
  author       = {{Ekholm, Tomas and Frank, Rupert L. and Kovarik, Hynek}},
  booktitle    = {{Analysis on Graphs and Its Applications}},
  isbn         = {{9780821844717}},
  issn         = {{0082-0717}},
  keywords     = {{Laplace operator; metric tree; Hardy inequality}},
  language     = {{eng}},
  pages        = {{369--379}},
  publisher    = {{American Mathematical Society (AMS)}},
  title        = {{Remarks about Hardy inequalities on metric trees}},
  volume       = {{77}},
  year         = {{2008}},
}