\(L^p\)-norm estimate of the Bergman projection on Hartogs triangle (Q2411677)

The Hartogs triangle is the domain \(H\) in \(\mathbb C^2\) consisting of points \((z_1, z_2)\) such that \(|z_1|<|z_2|<1\). It was previously known that the Bergman projection \(P\) for \(H\) is bounded on \(L^p\) if and only if \(4/3 < p < 4\). The current paper gives upper and lower estimates for the norm of the Bergman projection \(P\) on \(L^p\) for \(p\) in the above range.