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math.SP2016
An improved discrete Hardy inequality
Matthias Keller, Yehuda Pinchover, Felix Pogorzelski
We improve the classical discrete Hardy inequality \begin{equation*}\label{1} \sum _{n=1}^{\infty }a_{n}^{2}\geq \left({\frac {1}{2}}\right)^{2} \sum _{n=1}^{\infty }\left({\frac {…
math.SP2016
Optimal Hardy inequalities for Schrödinger operators on graphs
Matthias Keller, Yehuda Pinchover, Felix Pogorzelski
For a given subcritical discrete Schrödinger operator on a weighted infinite graph , we construct a Hardy-weight which is optimal in the following sense. The operator $H…