Earth has (at least) 2 radiation belts called the Van Allen belts. Jupiter has similar radiation belt(s). Are they still called Van Allen belts around other planets?
According to the Wikipedia article on radiation belts, only Earth's radiation belts are referred to as Van Allen belts:
The discovery of the belts is credited to James Van Allen, and as a result the Earth's [radiation] belts are known as the Van Allen belts. ... The term Van Allen belts refers specifically to the radiation belts surrounding Earth; however, similar radiation belts have been discovered around other planets.
Since Van Allen did not discover the belts around other planets, he doesn't get his name on them.