This air battle was fought between the British and Germans. It was codenamed Operation Sea lion. Churchill put his best efforts to win and it worked. http://www.history.co.uk/explore-history/ww2/battle-of-britain.html
Map giving an overview of the plan for Operation Sealion. Paratroopers would land near Brighton and Dover, and troops would be landed on beaches from Portsmouth to Ramsgate. The initial objective was to establish a line from Southampton to Rochester.