摘要
It is shown that on the egg domains: $$\Omega _a = \{ \xi = (z,w) \in {\bf{ }}{\Bbb C}^m ,{\bf{ }}w \in {\bf{ }}{\Bbb C}^m ,{\bf{ }}|z|^2 + |w|^{2/a}< 1\} ,{\bf{ }}0< a \leqslant 2$$ Gleason’s problem can be solved in the weight Bergman space. As an application, multiplier theorem on the egg domains is obtained.
It is shown that on the egg domains:Ω a= ({ξ=(z,w)∈C n+m: z∈C m, w∈C m, (z) 2+ (w) 2/a<1)}, 0<a≤2Gleason’s problem can be solved in the weight Bergman space. As an application, multiplier theorem on the egg domains is obtained.
基金
ProjectsupportedbytheNationalNaturalScienceFoundationofChina (GrantNo .195 71077)andtheStateEducationCommissionDoctoralFoundationofChina
