Abstract
The aim of this paper is to prove results on the -boundedness and -compactness of wavelet multipliers associated with a general class of integral operators. As a side result we study their -boundedness and Schatten class properties. These results can be applied to a wide class of transformations including those of homogenous kernel as the Fourier transform, the deformed Fourier transform, and those of non-homogeneous kernel as the Jacobi transform and the short time Fourier transform.