Norm of the Hausdorff operator on the real Hardy space $H^1(\mathbb{R})$

Ha Duy Hung, Luong Dang Ky, Thai Thuan Quang

Let $\phi$ be a nonnegative integrable function on $(0,\infty )$. It is well-known that the Hausdorff operator ${\mathcal{H}}_{\phi }$ generated by $\phi$ is bounded on the real Hardy space $H^1(\…