  In this paper we examine the general theory of continuous frame multipliers
in Hilbert space. These operators are a generalization of the widely used
notion of (discrete) frame multipliers. Well-known examples include Anti-Wick
operators, STFT multipliers or Calder\'on- Toeplitz operators. Due to the
possible peculiarities of the underlying measure spaces, continuous frames do
not behave quite as well as their discrete counterparts. Nonetheless, many
results similar to the discrete case are proven for continuous frame
multipliers as well, for instance compactness and Schatten class properties.
Furthermore, the concepts of controlled and weighted frames are transferred to
the continuous setting.
