zero one sequence

Let A(z) be analytic in the unit disc,we study the zero sequences {a_n} of the non-trivial solutions of f″+A(z)f=0(*) having the properties of zero sequences for the Bergman spaces,that is,satisfying∑_n(1-|a_n|~2)~(1+δ)<∞for everyδ>0.

假设A(z)在单位圆内解析,研究方程f″+A(z)f=0(*)非平凡解的零点序列{a_n},它们具有Bergman空间零点序列的特征,也即满足∑_n(1- |a_n|~2)~(1+δ)<∞对每一个δ>0。