We prove optimal estimates for the mapping properties of the Bergman projection on the Hartogs triangle in weighted Lpspaces when p > 4/3, where the weight is a power of the distance to the singular boundary point. For 1 < p ≤ 4/3 we show that no such weighted estimates are possible.
|Number of pages||11|
|Journal||Proceedings of the American Mathematical Society|
|State||Published - Apr 2016|
- Bergman projection
- Hartogs triangle