Multiplication operators on the Bergman space via the Hardy space of the bidisk
Multiplication operators on the Bergman space via the Hardy space of the bidisk
In this paper, we develop a machinery to study multiplication operators on the Bergman space via the Hardy space of the bidisk. Using the machinery we study the structure of reducing subspaces of a multiplication operator on the Bergman space. As a consequence, we completely classify reducing subspaces of the …