Abstract
We study the convexity and starlikeness of metric balls on Banach spaces when the metric is the quasihyperbolic metric or the distance ratio metric. In particular, problems related to these metrics on convex domains, and on punctured Banach spaces, are considered.
| Original language | English |
|---|---|
| Pages (from-to) | 215-228 |
| Number of pages | 14 |
| Journal | Annales Academiae Scientiarum Fennicae. Mathematica |
| Volume | 37 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Feb 2012 |
| MoE publication type | A1 Journal article-refereed |
Keywords
- Distance ratio metric
- Quasihyperbolic ball
- Quasihyperbolic geodesic