  Radiative effects in the electroproduction of photons in polarized
$ep$-scattering are calculated with the next-to-leading (NLO) accuracy. The
contributions of loops and two photon emission were presented in analytical
form. The covariant approach of Bardin and Shumeiko was used to extract the
infrared divergence. All contributions to the radiative correction were
presented in the form of the correction to the leptonic tensor thus allowing
for further applications in other experiments, e.g., deep inelastic scattering.
The radiative corrections (RC) to the cross sections and polarization
asymmetries were analyzed numerically for kinematical conditions of the current
measurement at Jefferson Lab. Specific attention was paid on analyzing
kinematical conditions for the process with large radiative effect when momenta
of two photons in the final state are collinear to momenta of initial and final
electrons, respectively.
