We consider the reducing subspaces of on , where , , and for . We prove that each reducing subspace of is a direct sum of some minimal reducing subspaces. We also characterize the minimal reducing subspaces in the cases that and , respectively. Finally, we give a complete description of minimal reducing subspaces of on with .
"Reducing Subspaces of Some Multiplication Operators on the Bergman Space over Polydisk." Abstr. Appl. Anal. 2015 1 - 12, 2015. https://doi.org/10.1155/2015/209307