"受空间条件限制的" can be translated into English as "restricted by spatial conditions" or "limited by spatial constraints".
Here are some example sentences to illustrate the usage:
1、 The design of this equipment is restricted by spatial conditions, so we have to optimize its structure.
（这件设备的设计受空间条件限制，因此我们得优化其结构。）
2、 Due to the limited space in the old building, the installation of new facilities was restricted by spatial conditions.
（由于老建筑空间有限，新设施的安装受空间条件限制。）
3、 The layout of the laboratory is limited by spatial constraints, making it challenging to arrange all the necessary equipment.
（实验室的布局受空间条件限制，安排所有必要的设备颇具挑战性。）