$L^p$--$L^q$ estimates for Shimorin-type integral operators

Yuerang Li, Zipeng Wang, Kenan Zhang

Let $\hat{I}½$ be a positive measure on $[0,1]$. A Shimorin-type operator $T_{\hat{I}}½$ is an integral operator on the unit disk given by \[ T_νf(z) = \int_{\mathbb{D}} \frac{1}{1 - z\overline…