This month, the Zappa Family Trust, which owns the rights to Mr. Zappa’s music, informed Dweezil that he did not have permission to tour as Zappa Plays Zappa — the name is a trademark owned by the trust — and that he risked copyright infringement damages of $150,000 each time he played a song without proper permission.
Source: Zappa Threatens Zappa Over Zappa Plays Zappa | Techdirt