加权Hardy空间上Toeplitz算子在其约化子空间的限制

Restriction of Toeplitz Operators on Their Reducing Subspaces on the Weighted Hardy Spaces

给出在复平面瓘的开单位圆盘D上的加权Hardy空间H^2(β_α,D)上解析Toeplitz算子T_(_zN)在其极小约化子空间上的限制,证明了TzN相似于N重Bergman位移的直和.

In this paper,we study the restriction of analytic Toeplitz operator TzN on its minimal reducing subspaces on the weighted Hardy space H^2(βα,D)on the open unit disk D.Furthermore,we show that TzN is similar to the direct sum of N copies of the Bergman shift.