The interesting thing about dogfights in space is that the force in control is gravitational movement instead of aerodynamics. Put simply, the faster you go, the higher you go. If you slow down too much, you'll end up reentering the Earth's atmosphere.
Also, since there's no air in space, the space planes will need to carry their own oxygen for fuel. The kickback from weapons like guns and missiles would make them a poor choice for use in the vacuum of space. The laser would be the only possible weapon a space plane would carry.
What I found most interesting about a dogfight in space is the fact that you only have to slightly damage the enemy space plane and the friction of reentry will do the rest.