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 $A_{\hat{I}}^p\pm$ is equal to $\ddot{I}€/\sin ((2+\hat{I}\pm )\ddot{I}€/p)$ when $-1<\hat{I}\pm <p-2$. In this paper, we provide a…