$L^p$ Mapping Properties of the Bergman Projection on the Hartogs   Triangle
  We prove optimal estimates for the mapping properties of the Bergman projection on the Hartogs triangle in weighted $L^p$ spaces when $p>\frac{4}{3}$, where the weight is a power of the distance to the singular boundary point. For $1<p\leq\frac{4}{3}$ we show that no such weighted estimates are possible. 
Debraj Chakrabarti and Yunus E. Zeytuncu
math.CV