"受空间条件限制的" can be translated into English as "restricted by spatial constraints" or "limited by space conditions".
Both expressions convey the idea that something is constrained or limited due to limitations in available space. Here are a couple of example sentences to illustrate their usage:
The layout of the small apartment is restricted by spatial constraints, making it challenging to arrange furniture comfortably.
Due to the limited space conditions in the old building, renovation work had to be carefully planned.