If you're up against a skilled pilot, the only way you're going to shake them is to be extremely unpredictable.
This means rolling in weird directions and turning more than they expect etc.
The easiest way I've found to do this (apart from just slowing down and hoping they overshoot you) is to do the following:
Roll left, but keep rolling until you're vertical, but with your jet's top facing to the right (i.e. roll 270 degrees, so it's like you rolled 90 degrees right) then pitch downwards so that you start turning left. Since pitching down is much slower than pitching up, begin to roll left in the middle of your turn and pitch upwards into a loop. At the top of your loop pick a direction (left or right) and roll and turn that way.
If you do that properly and you haven't lost him yet then he's either too far behind you for you to be able to lose him, or he's a very very skilled pilot.
Another thing you can do if you have a good Anti-Air on your team is to fly towards your AA, but doing so not in a straight line (or they can easily shoot you). If you fly close enough to your AA, then they should be able to take out the jet that's chasing you, or the enemy jet will come off your tail in fear of dying.