  We study the dispersion-generalized Benjamin-Ono equation in the periodic
setting. This equation interpolates between the Benjamin-Ono equation
($\alpha=1$) and the viscous Burgers' equation ($\alpha=0$). We obtain local
well-posedness in $H^s$ for $s>3/2-\alpha$ and $\alpha\in(0,1)$ by using the
short-time Fourier restriction method.
