Abstract
Let D be a starlike Lipschitz domain in Rn, n ≥ 2. If w is a subharmonic function in D with positive harmonic majorant, then at almost every point on the boundary of D (surface measure), w has radial limit. Results on limits along certain C1 curves in general Lipschitz domains are also obtained.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 309-316 |
| Number of pages | 8 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 68 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 1978 |
| Externally published | Yes |
Keywords
- Green’s potential
- Harmonic measure
- Harnack’s inequality
- Limits along curves
- Lipschitz domain
- Maximum principle
- Subharmonic
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics