Looking below the floor: constraints on the AGN radio luminosity functions at low power

We constrain the behaviour of the radio luminosity function (RLF) of two classes of active galactic nuclei (AGN) namely AGN of low radio power (LRP) and BL Lac objects. The extrapolation of the observed steep RLFs to low power predicts a space density of such objects that exceeds that of the sources that can harbour them and this requires a break to a shallower slope. For LRP AGN, we obtain P-br,P- LRP a parts per thousand(3) 10(20.5) W Hz(- 1) at 1.4 GHz to limit their density to be smaller than that of elliptical galaxies with black hole masses M-BH > 10(7.5) M-aS (TM). By combining this value with the limit derived by the observations the break must occur at P-br,P- LRP similar to 10(20.5)-10(21.5) W Hz(- 1). For BL Lacs, we find P-br,P- BLLAC a parts per thousand(3) 10(23.3) W Hz(- 1) otherwise they would outnumber the density of weak-lined and compact radio sources, while the observations indicate P-br,P- BLLAC a parts per thousand(2) 10(24.5) W Hz(- 1). In the framework of the AGN unified model, a low luminosity break in the RLF of LRP AGN must correspond to a break in the RLF of BL Lacs. The ratio between P-br,P- LRP and P-br,P- BLLAC is similar to 10(3), as expected for a jet Doppler factor of similar to 10.