Generalized Hilbert operators on Hardy spaces

Yuting Guo, Pengcheng Tang

Let $g\in H(\mathbb{D})$, the generalized Hilbert operator ${\mathcal{H}}_g$ is defined by \[ \mathcal H_g(f)(z)=\int_0^1 f(t)g'(tz)dt,\ \ z\in \mathbb D\, \ \ f \in H(\mathbb D). \] L…