随机Dirichlet空间上的点态乘子

The pointwise multipliers on randomization Dirichlet spaces

设∑a_(n)z^(n)∈D_(α)^(p),R _(f)(z)=∑■_(n)a_(n)z^(n)是f的随机化函数,利用闭图像定理和Carleson测度讨论了随机Dirichlet空间上的点态乘子的有界性,得到了R_(f)(z)∈M(D_(α)^(p),D_(β)^(q))的一些判别条件.

Supposed f(z)=∑a_(n)z^(n)∈D_(α)^(p),R _(f)(z)=∑■_(n)a_(n)z^(n) is the randomization of f.The boundness of multipliers in the randomization Dirichlet spaces in the unit disk is discussed,some conditions of R_(f)(z)∈M(D_(α)^(p),D_(β)^(q)) are obtained in this paper.