一类具有有界偏微分算子的整函数空间

A Class of Spaces of Entire Functions with Bounded Partial Different Operators

文章研究了由生成函数生成的多元整函数Hilbert空间的基本性质,着重讨论了偏微分算子在该空间上的有界性,给出了一个用生成函数刻画的偏微分算子是有界算子的充分必要条件。

In this several variables, which paper,we study the basic properties of the Hilbert spaces of entire functions in has reproducing functions. We consider bounded partial differential operators in reproducing Hilbert spaces, and a sufficient and necessary condition for partial differential operators to be bounded in reproducing Hilbert spaces is given.