论文标题

harnack的距离和次谐波功能的估计来自单元盘上的下方

The Harnack distance and estimates of subharmonic functions from below on the unit disc

论文作者

Khabibullin, B. N.

论文摘要

从下方和次谐波功能的下方估计的一般估计在全体形态和亚谐波功能的生长理论中起着关键作用之一,并且在潜在理论中通常。同时,经常使用最多样化的技术设备。在我们最近的一篇论文中,我们在相当普遍的情况下表明,实际上不需要如此广泛的工具。经典的Harnack距离几乎总是足够的。在本文中,我们将说明在复杂平面中的单元光盘的情况下,这是如何工作的。

General estimates from below of holomorphic and subharmonic functions play one of the key roles in the theory of growth of holomorphic and subharmonic functions and in general in the theory of potential. At the same time, the most diverse technical apparatus was often used for this. In one of our recent papers, we showed in fairly general cases that in fact such a wide set of tools is not required. The classic Harnack distance is almost always enough. In this article, we will illustrate how this works in the cases of the unit disc in the complex plane.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源