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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 In Analysis on Graphs and Its Applications 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.
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Laplace operator, metric tree, Hardy inequality
in
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
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
2009-06-08 14:48:22
date last changed
2016-04-15 22:28:56
@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},
  keyword      = {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},
}