Generalized Hilbert operator acting on Bergman spaces

Pengcheng Tang, Xuejun Zhang

Let $\hat{I}¼$ be a positive Borel measure on $[0,1)$. If $f\in H(\mathbb{D})$ and $\hat{I}\pm >-1$, the generalized integral type Hilbert operator defined as follows: $$\mathcal{I}_{μ_{α+1}}(…