2000 character limit reached
$L^p$ Mapping Properties of the Bergman Projection on the Hartogs Triangle (1410.1105v2)
Published 5 Oct 2014 in math.CV
Abstract: We prove optimal estimates for the mapping properties of the Bergman projection on the Hartogs triangle in weighted $Lp$ 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.