Air Power in the Falklands Conflict

From the television footage shown in all its stark reality and the daily coverage and subsequent memoirs, the impression delivered from the air battles in the Falklands Conflict was that of heroic Argentine pilots who relentlessly pressed home their attacks against the British. While, by contrast, there is a counter-narrative that portrayed the Sea Harrier force as being utterly dominant over its Argentine enemies. But what was the reality of the air war over the Falkland Islands?