AGN luminosity functions. Left panel: cumulative rest-frame, soft-band luminosity function of the AGN in the Spiderweb protocluster normalized to the comoving volume defined by 2.11 < z < 2.20 shown by the red, solid line with the red-shadowed area, and a circle of 5 arcmin centered on the Spiderweb Galaxy. The cyan solid line with the pink-shadowed area is the same without the luminosity correction for the two C-thick candidates. The black solid line is the XLF in the field from the model of Gilli et al. (2007). Shaded areas correspond to 1 σ uncertainty. The Spiderweb Galaxy is not included in the luminosity function. Right panel: same as left panel but in the rest-frame, 2–10 keV hard band.