Refine
Has Fulltext
- no (1)
Year of publication
- 2021 (1) (remove)
Document Type
- Article (1) (remove)
Language
- English (1)
Is part of the Bibliography
- yes (1)
Keywords
- Greatest harmonic minorant (1)
- Green's function (1)
- Potential theory (1)
- Schrödinger operator (1)
- Subcritical (1)
- Weighted (1)
- graph (1)
Institute
We study superharmonic functions for Schrodinger operators on general weighted graphs. Specifically, we prove two decompositions which both go under the name Riesz decomposition in the literature. The first one decomposes a superharmonic function into a harmonic and a potential part. The second one decomposes a superharmonic function into a sum of superharmonic functions with certain upper bounds given by prescribed superharmonic functions. As application we show a Brelot type theorem.