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Paper detail

Remarks about Hardy inequalities on metric trees

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.

preprint2007arXivOpen access
Tomas EkholmRupert L. FrankHynek Kovarik
math-phmath.MPmath.SP
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Tomas EkholmRupert L. FrankHynek Kovarik

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