This work studies the capacity region of a two-user ergodic interference
  channel with fading, where only one of the users is subject to interference
  from the other user, and the channel state information~(CSI) is only available
  at the receivers.  A layered erasure model with one-sided interference and
  with arbitrary fading statistics is studied first, whose capacity region is
  completely determined as a polygon.  Each dominant rate pair can be regarded
  as the outcome of a trade-off between the rate gain of the interference-free user
  and the rate loss of the other user due to interference.  Using insights from
  the layered erasure model, inner and outer bounds of the capacity region are
  provided for the one-sided fading Gaussian interference channels.  In
  particular, the inner bound is achieved by artificially creating layers in the
  signaling of the interference-free user.  The outer bound is developed by
  characterizing a similar trade-off as in the erasure model by taking a
  ``layered'' view using the incremental channel approach.  Furthermore,
  the gap between the inner and outer bounds is no more than 12.772~bits per
  channel use per user, regardless of the signal-to-noise ratios and fading
  statistics.