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I have shelves similar to the one above. The are hollow inside. 2x4s are lagged into the studs through the 4 inch side, so they stick out of the wall about 3 1/2 inches. The hollow shelves slip over the and are attached wit small screws.
For a thin 3/4 " shelf I would bore 3/8" holes in the studs and matching 3/8" holes in the back edge of the shelf. Cut 3/8 rod to an appropriate length and drive it into the studs, then just slide the shelf on the exposed rod.
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