Hardy型A_μ空间中的Jackson定理

Jackson's Theorem in Hardy Type A_μ Spaces

在Cn中的星形圆型上对Hardy型Aμ函数空间中的全纯函数构造逼近多项式,得出逼近的正定理即Jackson定理.作为Aμ空间的具体例子,给出了Fock空间Apm上的Jackson定理.

Polynomial approximation is constructed in Hardy type Aμ function spaces in any starlike cir- cular domain of C^n. It yields a direct approximation theorem known as Jackson＇s theorem. As a concrete example of Aμ spaces,Jackson＇s theorem on Foek spaces Aμ is obtained.