We study the projective logarithmic potential Gµ of a Probability measure µ on the complex projective space P n . We prove that the Range of the operator µ −→ Gµ is contained in the (local) domain of definition of the complex Monge-Ampère operator acting on the class of quasi-plurisubharmonic functions on P n with respect to the Fubini-Study metric. Moreover, when the measure µ has no atom, we show that the complex Monge-Ampère measure of its Logarithmic potential is an absolutely continuous measure with respect to the Fubini-Study volume form on P n Date

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