Howdy mitch1075, The Aqua Active brand of air pumps run very quite, but I have all of my air pumps and oscillating fans mounted (if You can call duct tape mounting! LOL) on foam rubber (packaging foam from various things) sandwiched between corrugated cardboard. The duct tape keeps every thing in place. I use corrugated card board because it is somewhat ridged and it tends to have a dampening affect of it's own, especially with high frequencies, like motors and fan blades make. The foam rubber helps to reduce the transmission of the noise (vibrations) thru the shelf and into the wall. Any ridged hard surface will transmit the vibration and noise, and if the surface is just right, even amplify it. I also have bubble wrap around the reservoirs for thermal insulation but it helps to dampen the noise as well.
Good luck with Your grow.