On a conjecture about generalized integration operators on Hardy spaces

Rong Yang, Songxiao Li

A conjecture posed by Chalmoukis in 2020 states that if $T_{g,a}:H^p\to H^q(0<q<p<\infty )$ is bounded, then $g$ must be in $H^{\frac{pq}{p-q}}$. In this article, we provide a posit…