Abstract
We study the connection between multiplicities of the zeros and boundary behavior of bounded analytic and harmonic functions. We prove existence of angular (non-tangential) limit at a boundary point provided that multiplicities of zeroes of the function grow fast enough on a given sequence of points approaching the boundary.
| Original language | English |
|---|---|
| Pages (from-to) | 199-207 |
| Number of pages | 9 |
| Journal | Analysis (Germany) |
| Volume | 30 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2010 |
| Externally published | Yes |
Keywords
- Analytic and planar harmonic functions
- angular limits
- multiplicity of zeroes