Here's a breakdown:

* Outer membrane: Continuous with the endoplasmic reticulum (ER) and studded with ribosomes.

* Inner membrane: Lined with a network of proteins called the nuclear lamina, which helps maintain the shape of the nucleus.

* Perinuclear space: The space between the inner and outer membranes, which is continuous with the ER lumen.

The nuclear envelope plays a crucial role in regulating the transport of molecules between the nucleus and the cytoplasm. It has nuclear pores, which are large protein complexes that allow the passage of specific molecules, such as RNA, proteins, and signaling molecules.