Did the luftwaffe permit the italian air force to use german fighter bombers,bombers and fighter aircraft under italian command in the battle of britain?

Look through here:
Aircraft of the Battle of Britain - Wikipedia, the free encyclopedia (http://en.wikipedia.org/wiki/Aircraft_of_the_Battle_of_Britain)

The Battle of Britain - Home Page (http://www.raf.mod.uk/bob1940/airpower.html)