Abstract
In this paper, we give a sharp estimate on the dimension of the space of polynomial growth harmonic functions with fixed degree on a complete Riemannian manifold, under various assumptions.
| Original language | English |
|---|---|
| Pages (from-to) | 315-332 |
| Number of pages | 18 |
| Journal | Revista Matematica Iberoamericana |
| Volume | 20 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2004 |
Keywords
- Mean value property
- Poincaré inequality
- Polynomial growth harmonic function
- Volume doubling condition