Hi Robert Unfortunately, there's not a lot that can be done, short of taking down your ceiling, blowing in cellulose insulation and installing z-bracket sound isolators that you would then mount your new ceiling drywall to (these are available mail order in most home improvement magazines)
Basically, the sound waves from above are causing the flooring/subflooring and then 2X10's to resonate (vibrate), which is transferred to the basement ceiling, so that it acts kind of like the skin of a base drum. This occurs mostly over the lower frequencies (more energy).
The most effective sound prevention device you can install is a thick carpeting on the upstairs floor, which should absorb all but the lowest frequency sounds. Wall hangings, full drapes and furniture will help absorb deflecting (bouncing) sounds.