论文标题
在次谐波和整个小阶的功能上：kjellberg之后
On subharmonic and entire functions of small order: after Kjellberg
论文作者
论文摘要
我们提供了一种构造给定小阶的先验整个功能的示例的一般方法，该示例可以精确控制该函数的最小模量相对较大的集合的大小和形状。我们的方法涉及开发一种新技术，以给在某种类型的多重连接域中定义的正谐波函数的增长赋予上限，从而在许多情况下对增长进行了敏锐的估计。
We give a general method for constructing examples of transcendental entire functions of given small order, which allows precise control over the size and shape of the set where the minimum modulus of the function is relatively large. Our method involves developing a new technique to give an upper bound for the growth of a positive harmonic function defined in a certain type of multiply connected domain, giving a sharp estimate for the growth in many cases.
