If possible, have the wall shelf attached to an outside wall or strucural inside wall as mentioned(behind the speaker plane). Try to set up the shelf so that it is not rigidly coupled to the wall, don't over tighten the screws and perhaps put rubber washers as spacers behind brackets at wall. Then decouple the table from the shelf surface by putting a seperate MDF board or buthcher block on it seperating it with cones,vibrapods,small spikes,rubber/plastic pads etc. Take the lid completely off while playing(antenna for airborn vibrations) also mentioned. Give the cartridge bolts a good tightening and make sure the tonearm bearing is not loose. If this don't help I would say you need a better table.