The air war over North Africa is an interesting subject. There was an aerial dimension to every WW2 campaign, and command of the air made a big difference to campaigns on land and sea.
North Africa was much closer to the axis powers who could operate on interior lines. The battlefields of Libya and Egypt were a short hop across the Mediterranean from Sicily, Italy or occupied Greece. The allies were operating from Egypt and sustained by long sea routes around the cape from the UK or , when they entered the war, the USA. E.g.. the US 1st Provisional Bombardment Group which operated from Egypt in autumn 1942 had been formed as a bomber element for the China -Burma-India theatre and was being supplied from the other side of the world. Establishing an air staging route across central Africa via Takoradi in Ghana cut the time it took to supply aircraft, but absorbed a lot of resources. Establishing air superiority over El Alamein was an allied logistic triumph. OTOH, the Germans and Italians were operating on a logistic shoestring, reflected in poor aircraft serviceability. The Italian aircraft industry was ill equipped for a sustained war. The Mediterranean campaign was a sideshow for the Germans, which sucked in aircraft which might have done more for them in Russia. (E.g. the transport aircraft used to build up German forces in Tunisia, might have made a difference sustaining their troops in Stalingrad. This is a point often missed. The allies were in no position to engage the Germans on the mainland of Europe, but the Mediterranean offered opportunities to fight the Germans in places which hurt them more than the allies. .
The story of the Desert Air Force is a great allied success story. The North Africa campaign lasted just under three years, from June 1940 to May 1943. During this time the RAF established an aerial ascendency from late 1941 which they never lost. The Germans and Italians may have a handful of good fighter aircraft and pilots, and the ability to mount some attacks. However, it was the DAF deploying airpower in support of the 8th Army and the axis complaining about the lack of air support. . This was a big achievement for the commanders of the Desert Air Force and in the face of RAF policy did not favour close air support.
Montgomery's books all stressed that the first principle of modern war is to obtain air superiority. . This was first achieved by the allies in WW2 over North Africa. The chapters in John Terraine's book "The Right of the Line" om the RAF in WW2 tell this story well..