Dogfighting as we understand it isn't going to happen in space, because the iron laws of rocketry demand that we need to carry fuel to accelerate to the mission area, decelerate to conduct the mission and turn around, accelerate back to the base and decelerate once home. This would require something on the order of 8X the mass of fuel needed just to send a similar sized missile on a one way journey to the target. From a practical viewpoint, I can send 8 missiles at you for every fighter you send, so eventually you are going to be overwhelmed in a saturation attack or just worn down by attrition.
But since no one is too keen to read about a missile duel, there is an out: LEO aerospace fighters. A ship in low orbit will be much harder to detect since it will be either shielded by the planet itself (once it passes below the planetary horizon relative to you), or lost in the infrared and visual "clutter" of the planet below, one of the few exceptions to the "no stealth in space" meme. If the ship is highly streamlined, as it must be to exit the atmosphere at orbital velocity, it can also execute various manoeuvres by interacting with the atmosphere, including large plane changes, large velocity changes and even deorbiting to refuse combat (while you look disappointed at the reentry plume, his wingman is coming up from another orbital angle...).
The vehicle can be surprisingly simple. In the 1980's, the US Navy considered a "space cruiser" based on an ICBM reentry vehicle, modified to hold an astronaut who wold be launched from an SLBM tube to conduct surprise inspections of Soviet space hardware. (This is conceptually as exciting as flying biplane fighters off Navy airships in the 1930's). the long slender cone would carry the astronaut in the large part of the cone, with fuel tanks in the "pointed" end and a ring of small rocket engines around the base of the cone for orbital manoeuvres. This would actually be about as large as a WWI era fighter plane, so going bigger (a cone the size of a WWII era prop fighters like the "Bearcat") would provide more fuel for manoeuvre and the ability to carry some missiles or a cannon. (A laser weapon would be much larger than a "fighter" because of the need for a powerful generator, the rage pointing mirror at the end of the optical train and the heat rejection apparatus, especially since lasers often have a ratio of 5:1 between input power and laser energy emitted).
The space fighter wing could even be based on Earth for the most part, making routine maintenance of the fighters much easier and giving the pilots the sort of lifestyle and amenities that pilots seem to think is their due. Because these are fully fledged spacecraft, they could be kitted out with "drop tanks" of extra fuel and life support and carry out missions as far away as the Moon, greatly extending the utility of the force (although any advantages of being able to use the atmosphere to manoeuvre are lost).
So from a very specific perspective, we can envision "dogfights in spaaaaaace!"