simply connected region

ok, so where do we use the assumption of being defined in a simply connected region?

那么我们是在哪里利用了，“定义在单连通区域”的假设呢？

Expand the definition of Hp ( p ≥ 1) space in unit circle to the simply connected region using Riemann mapping.

利用Riemann映射性质将单位圆内Hp（p≥1）空间的定义推广到了在一般单连通区域上定义Hp（p≥1）空间。

let's not worry too much about it. for accuracy we need our vector field to be defined in a simply connected region.

对于它，不用太担心，为了精确起见，需要向量场定义在一个单连通区域中。

A note about the question of line integrals of a function on non simply connected region

在非单连通域上曲线积分问题的注释

analytically modeling of complicated boundary simply-connected region conformal mapping

复杂边界单连通域共形映射解析建模研究

With the help of the conformal transformation, we transform a simply connected region and its boundary into the upper half plane and real axis.

借助保形变换将单连通区域及其边界化为上半平面与实轴。

or, as we will see soon, in a simply connected region.

稍后我们会知道，在一个单连通区域上也可以。