ON SOME INTEGRAL OPERATORS ON THE UNIT POLYDISK AND THE UNIT BALL
ON SOME INTEGRAL OPERATORS ON THE UNIT POLYDISK AND THE UNIT BALL
Let $\mathbb D^n$ be the unit polydisk and $B$ be the unit ball in $\mathbb C^n$ respectively. In this paper, we extend the Cesà ro operator to the unit polydisk and the unit ball. We prove that the generalized Cesà ro operator $\mathcal{C}^{\vec b,\vec c}$ is bounded on the Hardy space $H^p(\mathbb …