%0 Journal Article
%T Remarks about Hardy inequalities on metric trees
%A Tomas Ekholm
%A Rupert L. Frank
%A Hynek Kovarik
%J Mathematics
%D 2007
%I arXiv
%X 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.
%U http://arxiv.org/abs/0711.1943v1