New constraints on the 1.4 GHz source number counts and luminosity
  functions in the Lockman Hole field
  We present a study of the 1173 sources brighter than $S_{1.4\,\rm GHz}=
120\,\mu$Jy detected over an area of $\simeq 1.4\,\hbox{deg}^{2}$ in the
Lockman Hole field. Exploiting the multi-band information available in this
field for $\sim$79% of the sample, sources have been classified into radio loud
(RL) active galactic nuclei (AGNs), star forming galaxies (SFGs) and radio
quiet (RQ) AGNs, using a variety of diagnostics available in the literature.
Exploiting the observed tight anti-correlations between IRAC band 1 or band 2
and the source redshift we could assign a redshift to 177 sources missing a
spectroscopic measurement or a reliable photometric estimate. A Monte Carlo
approach was used to take into account the spread around the mean relation. The
derived differential number counts and luminosity functions at several
redshifts of each population show a good consistency with models and with
earlier estimates made using data from different surveys and applying different
approaches. Our results confirm that below $\sim300\,\mu$Jy SFGs$+$RQ AGNs
overtake RL AGNs that dominate at brighter flux densities. We also confirm
earlier indications of a similar evolution of RQ AGNs and SFGs. Finally, we
discuss the angular correlation function of our sources and highlight its
sensitivity to the criteria used for the classification.
