The multi-parameter Hausdorff operators on $H^1$ and $L^p$

Duong Quoc Huy, Luong Dang Ky

In the present paper, we characterize the nonnegative functions $\phi$ for which the multi-parameter Hausdorff operator ${\mathcal{H}}_{\phi }$ generated by $\phi$ is bounded on the multi-paramet…