Abstract
We describe the asymptotic behavior of functions of the Royden p-algebra in terms of p-extremal length. We also prove that each bounded A-harmonic function with finite energy on a complete Riemannian manifold is uniquely determined by the behavior of the function along p-almost every curve.
| Original language | English |
|---|---|
| Pages (from-to) | 423-432 |
| Number of pages | 10 |
| Journal | Bulletin of the Korean Mathematical Society |
| Volume | 47 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2010 |
Keywords
- A-harmonic function
- Comparison principle
- Maximum principle
- p-almost every curve
- p-extremal length
- p-harmonic boundary