DEEP VLA OBSERVATIONS OF AN OPTICALLY SELECTED SAMPLE OF INTERMEDIATEREDSHIFT QSOS AND THE OPTICAL LUMINOSITY FUNCTION OF THE RADIO-LOUD QSOS

We present deep VLA observations of a complete sample of 23 optically selected QSOs with B <19.4 at intermediate redshift (0.8<z<3.4). The o bservations were carried out at 5 and 1.4 GHz in the C array configura tion. 4 of our 23 QSOs were detected (2 radio loud and 2 radio quiet), confirming the decrease of the radio loud (alpha(10)>0.19) fraction o f QSOs with increasing redshift. Stronger constraints are obtained for the radio luminosity of the radio quiet population at 2<z<3 with L(5) (GHz)<10(24.2) W HZ(-1). Combining our observations with other existi ng radio data on optically selected samples (a total of 357 QSOs), we derive the evolutionary functional form of the optical luminosity func tion of the radio loud QSOs in the redshift range 0<z<2.9. The data ar e consistent with a radio loud optical luminosity function having lowe r densities but a similar shape with respect to the total (radio quiet plus radio loud) population, i.e., Phi(L)proportional to gamma LY wit h -3.5>gamma>-4.1 at bright luminosities, and -1.7>gamma>-2.4 at faint luminosities. The evolution is slower (2.7<k<3.1), and the ''break ma gnitude'' is brighter (-24>M(B)>-25 at z=0) than in the parent total optical luminosity function. It results that the differential evolutio n between the radio loud and radio quiet QSOs population could account for the recent claims of a steepening with redshift of the total QSO luminosity function.