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arXiv · 2303.07092

Harris' criterion and Hardy inequalites on graphs

Simon Murmann·Marcel Schmidt
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Abstract

In this paper we give a version of Harris' criterion for determining $H^{1,p}_0$ within $H^{1,p}$ on discrete spaces. Moreover, we provide a converse via Hardy inequalities involving distances to metric boundaries.

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Simon Murmann, Marcel Schmidt. 2023-03-13. Harris' criterion and Hardy inequalites on graphs. https://arxiv.org/abs/2303.07092

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