The Boundedness Problem for Generalized Hilbert Operators on Hardy Spaces

David Norrbo, José Ángel Peláez, Fanglei Wu

Let $g$ be analytic in the unit disc and consider the generalized Hilbert operator $${\mathcal{H}}_g(f)(z)={\int }_0^{1}f(t)g^{\prime }(tz)dt.$$ The boundedness of ${\mathcal{H}}_g$ on $H^p$ is…