The norm of the Hilbert matrix operator on Bergman spaces

Guanlong Bao, Liu Tian, Hasi Wulan

Karapetrović conjectured that the norm of the Hilbert matrix operator on the Bergman space $A_{\alpha }^p$ is equal to $\pi /\sin ((2+\alpha )\pi /p)$ when $-1<\alpha <p-2$. In this paper, we provide a proof…