Originally, the Dominion wanted Hammerfell in the Ultimatum, they wanted large parts of it. After the war, on the White-Gold Concordat, they still wanted large parts of Hammerfell.
So why in the world would they want Hammerfell!? What's so important there?
And the Redguards kept fighting after the Concordat - and actually 'won' (successfully defended their homeland). They probably took just as much damage from the Dominion as the Empire... so my question is, what if they Empire kept on fighting!? If the Redguards won, surely the Empire - which consisted of Imperials, Bretons, Nords Orsimer and the Redguards (they would have stayed with the Empire had they not surrended) could have won.
The Empire may have been in no position to fight... but then again, neither were the Aldmeri Dominion! I know this because if the Dominion could still fight, they would have pounced on the opportunity to take the weakened Empire as soon as possible... so they were weak to because they didn't!