I'm sure it will. My US MacBook Air had its screen replaced in the UK under warranty.
In general Apple portable products tend to have world-wide coverage and desktop products tend to have local-market coverage only.
Well, the iPhone is excluded from the world wide wide warranty. Probably because it's sold by the telecom operators.
Since the iPad is unlocked and sold directly by Apple, I'm guessing and hoping for a world wide warranty. Would be great with an official confirmation.
/Daniel