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math.CA2018★ 6 cited
Some Remarks on the Dirichlet Problem on Infinite Trees
Nikolaos Chalmoukis, Matteo Levi
We consider the Dirichlet problem on infinite and locally finite rooted trees, and we prove that the set of irregular points for continuous data has zero capacity. We also give som…
math.CV2018★ 6 cited
Onto Interpolation for the Dirichlet Space and for
Nikolaos Chalmoukis
We give a characterization of onto interpolating sequences with finite associated measure for the Dirichlet space in terms of condenser capacity. In the Sobolev space $H_1(\mathbb{…