Reducing subspaces for a class of Toeplitz operators on weighted Hardy spaces over bidisk

摘要

We consider weighted Hardy spaces on bidisk D2 which generalize the weighted Bergman spaces A2α(D2). Let z,w be coordinate functions and TzˉˉNw Toeplitz operator with symbol zˉˉˉNw. In this paper, we study the reducing subspaces of TzˉˉNw on the weighted Hardy spaces.