how to run stickies ONLY on desktop space 1
Open Stickies on the Desktop you want the app to only show on. Or, if it's already open, change to the Desktop you want to app to only show on.
Right-click (or control-click) its Dock Tile
Mouse over: Options
Under Assign To, click: This Desktop, or if you already have numbered Desktops showing, then select the one you want it to only show on.


The image above is from a default install with additional Desktops added but having never selected a specific one for an app yet. You may see menu entries e.g. Desktop 1, Desktop 2, etc.