The document discusses various layout containers used in Android user interface design, including LinearLayout, RelativeLayout, and TableLayout. LinearLayout arranges widgets linearly in a vertical or horizontal orientation. Key properties for LinearLayout include orientation, weight, gravity, padding, and margin. RelativeLayout positions widgets relative to each other and the parent container using positional rules. TableLayout arranges widgets in a grid with rows and columns, where each row is defined by a TableRow container. The document provides examples and details on how to implement each type of layout.