Optimal Hardy inequalities for Schrödinger operators on graphs

被引：0

作者：

Matthias Keller

Yehuda Pinchover

Felix Pogorzelski

机构：

[1] Universität Potsdam,Institut für Mathematik

[2] Technion-Israel Institute of Technology,Department of Mathematics

[3] Universität Leipzig,Institut für Mathematik

来源：

Communications in Mathematical Physics | 2018年 / 358卷

关键词：

D O I：

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中图分类号：

学科分类号：

摘要：

For a given subcritical discrete Schrödinger operator H on a weighted infinite graph X, we construct a Hardy-weight w which is optimal in the following sense. The operator H − λw is subcritical in X for all λ < 1, null-critical in X for λ = 1, and supercritical near any neighborhood of infinity in X for any λ > 1. Our results rely on a criticality theory for Schrödinger operators on general weighted graphs.

引用

页码：767 / 790

页数：23

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