Hausdorff operators on weighted Bergman and Hardy spaces

Ha Duy Hung, Luong Dang Ky

Let $1\le p<\infty$, $\alpha >-1$, and let $\phi$ be a measurable function on $(0,\infty )$. The main purpose of this paper is to study the Hausdorff operator \[ \mathscr H_φf(z)=\int_0^\in…