The Danish North Sea

What if Sweyn Forkbeard managed to live longer than he actually did? Sweyn reigned as the King of Denmark and Norway from 986 to 1014 (with the exception of a five year hiatus of his rule in Norway between 995 and 1000) and later as the King of England from 1013 to 1014. After Sweyn died in 1014, his empire divided only for it to be reconquered by his son, King Canute II of Denmark (Cnut the Great), but even Cnut's empire fell apart after his death. What if Sweyn managed to live longer and keep his empire united?