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We prove that the complex-valued modified Benjamin-Ono (mBO) equation islocally wellposed if the initial data $\phi$ belongs to $H^s$ for $s\geq 1/2$with $\norm{\phi}_{L^2}$ sufficiently small without performing a gaugetransformation. Hence the real-valued mBO equation is globally wellposed forthose initial datas, which is contained in the results of C. Kenig and H.Takaoka \cite{KenigT} where the smallness condition is not needed. We alsoprove that the real-valued $H^\infty$ solutions to mBO equation satisfy apriori local in time $H^s$ bounds in terms of the $H^s$ size of the initialdata for $s>1/4$.

Local Well-posedness and a priori bounds for the modified Benjamin-Ono equation without using a gauge transformation