论文标题
庞加莱和哈迪的不平等现象
Poincaré and Hardy inequalities on homogeneous trees
论文作者
论文摘要
我们研究无限均匀树的强壮型不平等。更确切地说,在这种情况下,我们为组合拉普拉斯人提供了最佳的强力权重,因此,我们获得了庞加莱不平等的最佳改进。
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 Poincaré inequality.