Hi Jerry: Mirror finishing can be challenging, until you finally master the process, then it becomes easier.
For ATS34, belt down to 9 micron, using 3M's film back belts (60, 40, 30, 15, 9 micron). The finer belts 930 and down) should be run fast and with Wd-40 sprayed on them. Use a smooth contact wheel. You need to vary the orientation of the blade on the wheel so that successive belts produce a scratch pattern that is angled relative to the previous grit. Just a few degrees will clearly show you any scratches that you have missed. It may take 4-6 clean, good passes on each side of the blade per grit to get rid of the scratches from the previous belt. This isn't easy to do, but, practice makes perfect.
Once you get to a 9 micron finish that has no left-over scratches, you will be able to see yourself in the blade-it will be reflective.
From here, you need to buff. Most people don't understand that buffing actually moves the metal. (That's moves, not re-moves!)
To do this, you need lots of pressure and heat. You get that from speed!
A 1" wide, 10" diameter wheel at 3600 RPM works well. You also need enough HP driving the wheel so that you can apply pressure to the blade as you buff it. A sewn muslim wheel, LOADED with a high quality Green Chrome rouge will do the job. Buff at about a 5 degree angle to the 9 micron scratch pattern, and you will achieve a good mirror finish.
Then, you can switch to a loose wheel, again LOADED with compound, and use lighter pressure to really bring up the finish and get rid of cloudiness..
As has been pointed out, ATS is not the cleanest steel, so you may see minor defects in the finish that are actually in the steel (not going away!)
Also, buffing is VERY dangerous, especially with large wheels and high RPM's. You need strong hands, good concentration and good technique.