Who controlled land-based anti-aircraft guns in World War II?

Was it typical for anti-aircraft guns to be controlled by the air force during World War II?

No; responsibility varied, and in Britain and the United States much ground-based air defence belonged to Army organizations.

Responsibility for ground-based anti-aircraft guns varied between countries. Army formations operated much of Britain's ground defence, with other services also contributing. Women served in gun crews, and wartime manpower pressure could push actual practice beyond formal restrictions on firing the weapons. Air defence absorbed a large share of Army rearmament funds while the RAF and Royal Navy received wider priority. Army spending included new 3.7-inch guns, conversions of older weapons, and radar development. In the United States, anti-aircraft artillery belonged to the coastal-artillery branch, while Japan had no independent air force to take equivalent responsibility.