Watch the Hollywood Stomp: Solo 1 online guitar lesson by David Blacker from Swing Blues Survival Guide: Lead
Fats is one of those players that takes a few notes and does a whole lot with them. He's a player that uses a lot of straight-ahead blues pentatonic ideas, but he also knows how to play through changes and target key chord tones. In many ways, his playing kind of crystallized the jump blues sound, staying deeply routed in the blues, but thinking like a jazz musician.
This piece is based off of his playing on the tune "Okie Dokie Stomp". The ideas are primarily pentatonic based, but they aren't just a series of random licks. These ideas weave their way through the changes, and represent a unique way to use the pentatonic scale. This, and the second solo, are meant to form one long solo, so it's good to practice them that way after you get them under your fingers.