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We prove that the Cauchy problem for the dispersion generalized Benjamin-Onoequation \[\partial_t u+|\partial_x|^{1+\alpha}\partial_x u+uu_x=0,\u(x,0)=u_0(x),\] is locally well-posed in the Sobolev spaces $H^s$ for$s>1-\alpha$ if $0\leq \alpha \leq 1$. The new ingredient is that we developthe methods of Ionescu, Kenig and Tataru \cite{IKT} to approach the problem ina less perturbative way, in spite of the ill-posedness results of Molinet, Sautand Tzvetkovin \cite{MST}. Moreover, as a bi-product we prove that if $0<\alpha\leq 1$ the corresponding modified equation (with the nonlinearity $\pm uuu_x$)is locally well-posed in $H^s$ for $s\geq 1/2-\alpha/4$.

Local Well-posedness for dispersion generalized Benjamin-Ono equations in Sobolev spaces