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arXiv:2001.05932 [math.AP]AbstractReferencesReviewsResources

Poincaré and Hardy inequalities on homogeneous trees

Elvise Berchio, Federico Santagati, Maria Vallarino

Published 2020-01-16Version 1

We study Hardy-type inequalities on infinite homogeneous trees. More precisely, we derive optimal Hardy weights for the combinatorial Laplacian in this setting and we obtain, as a consequence, optimal improvements for the Poincar\'e inequality.

Categories: math.AP, math.FA
Subjects: 26D10, 39A12, 05C05
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