微分算子的一类重要性质

An Important Property of Differentiation Operator

给出了无界算子成为非游荡算子的充分条件,运用特征向量的方法研究了在Bargmann空间上无界加权后移位算子的非游荡性,由此得出了微分算子在Bargmann空间上是非游荡算子;最后讨论了微分算子在Hardy空间上的非游荡性.

a sufficient condition for an unbounded operator to be non- wandering operator was given, and then the condition was applied to the differentiation operator on the Bargmann space F and the Hardy space H^2 . Finally, a sufficient condition for the operator g（D） defined by means of a functional calculus to be non - wandering operator was given.