Producer of smash hit by Jackson family (group's first) (6,4,4)

'producer of smash' is the definition.
(smash is a type of tennis shot)

'hit by jackson family group's first' is the wordplay.
'hit by jackson' becomes 'billiejean' (Michael Jackson song).
'family' becomes 'kin' ('kin' can be a synonym of 'family').
'first' suggests taking the first letters.
The initial letter of 'groups' is 'g'.
'billiejean'+'kin'+'g'='BILLIE JEAN KING'