  We study resonant tunneling through a quantum dot with one degenerate level
in the presence of a strong Coulomb repulsion and a bosonic environment. Using
a real-time approach we calculate the spectral density and the nonlinear
current within a conserving approximation. The spectral density shows a
multiplet of Kondo peaks split by the transport voltage and boson frequencies.
As a consequence we find a zero-bias anomaly in the differential conductance
which can show a local maximum or minimum depending on the level position. The
results are compared with recent experiments.
