Hyperspaces allows you to set different customizations for each of your displays. Whenever you open the Your Spaces tab within the Hyperspaces preferences, a dialog box will open on each of your displays that looks like this:
The options for secondary displays are a subset of those found on your main display, with one major change: You can mirror the desktop label, desktop image and desktop tint colors from your main display. This means that whenever you change the main display's desktop label, image or tint color customizations, they will also be applied to the secondary display as well.
Please note that setting desktop images for all of your displays, within each of your spaces will increase how much memory Hyperspaces uses.