Follows, derivative, imitative, aping, copying, wannabe, offshoot. And indeed, "influenced by".
If there are a great many, we may say that it was "in the tradition" of the earlier work, or even that it is part of a genre or movement that it (alone, or along with contemporaneous works) started. (Or perhaps founded if there was a conscious attempt to move in a particular artistic direction).
Follower, adherent, disciple, imitator, aper, copyist, wannabe & protégé can all apply to artists who came later, with different nuances as to the relationship to the earlier.