CAJ | 학술논문

在[1]的基础上,我们讨论了复平面上的单位圆上的Dirichlet空间和半平面上Dirichlet空间的关系,并找出了Dirichlet级数或一般随机Dirichlet级数属于a.s.属于Dirichlet空间和Lipr(0＜r＜1)的充分条件,并得出了重要结果,在非常弱条件下,一般随机Dirichlet级数a.s.具有近似于点态乘子的性质.
재[1]적기출상,아문토론료복평면상적단위원상적Dirichlet공간화반평면상Dirichlet공간적관계,병조출료Dirichlet급수혹일반수궤Dirichlet급수속우a.s.속우Dirichlet공간화Lipr(0＜r＜1)적충분조건,병득출료중요결과,재비상약조건하,일반수궤Dirichlet급수a.s.구유근사우점태승자적성질.
On the base of [1], we discuss relation between Dirichlet space of holomorphic functions in the reight-half plance of C and Dirichlet space of holomorphic functions in the unit disc of C, find the conditions for certain Dirichlet or random Dirichlet series to belong or a. s.belong to a Dirichlet space and Lipr (0＜r＜1), and obtain the important result that a general random Dirichlet series has property as similar to pointwise multiplers under very weak conditions.