具有慢增长解的线性微分方程
Linear differential equations with slowly growing solutions
摘要：
本文研究了复平面单位圆上线性微分方程的系数条件。在高阶情况下，考虑了解的零点分离（最大多重性），而在二阶情况下，讨论了$H^\infty$、$\rm{BMOA}$和Bloch空间中的慢增长解.证明了高阶导数的Hardy-Stein-Spencer公式的一个对应公式，并将其应用于Hardy空间中的解的研究.
英文摘要：
This research concerns coefficient conditions for linear differential equations in the unit disc of the complex plane. In the higher order case the separation of zeros (of maximal multiplicity) of solutions is considered, while in the second order case slowly growing solutions in $H^\infty$, $\rm{BMOA}$ and the Bloch space are discussed. A counterpart of the Hardy-Stein-Spencer formula for higher derivatives is proved, and then applied to study solutions in the Hardy spaces.
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