Hilbert-type operator induced by radial weight

José Ángel Peláez, Elena de la Rosa

We consider the Hilbert-type operator defined by $$H_{\omega }(f)(z)={\int }_0^{1}f(t)\left(\frac{1}{z}{\int }_0^z{B}_t^{\omega }(u)du\right)\omega (t)dt,$$ where $\{B_{\zeta }^{\omega }{\}}_{\zeta \in \mathbb{D}}$ are the repro…