Gleason问题在多复变F(p,q,s)空间上的可解性

The Solvability of Gleason's Problem on Space F(p,q,s) with Several Complex Variables

在0<p<∞,0≤s<∞,max{-n-1,-s-1}<q<∞的条件下,证明了Gleason问题在C^n中以单位球为支撑集的一般函数空间F(p,q,s)上是可解的.

Let0〈P〈∞,0≤s〈∞,max{-n-1,-s-1}〈q〈∞. In this paper, the authors prove that the Gleason＇s problem （B, a, F（p, q, s）） is solvable for any fixed a ∈ B.