Today's Piano Puzzler

For those new to these parts, the host of the quiz segment of Performance Today is the genial Fred Child, and the musician is the hugely talented Bruce Adolphe.  He re-arranges a piece of music, usually a popular song, in the style of a classical composer.  You try to guess both.

Okay, I'll give you a hint this week -- the composer is not 18th century Baroque.  Though I think you'll likely figure that out after about...oh, two notes...