A Class of compact operators on homogeneous spaces

Let ? be a representation of the homogeneous space G/H, where G be a locally compact group and H be a compact subgroup of G. For an admissible wavelet ? for ? and ??Lp(G/H), 1?p < ?, we determine a class of bounded compact operators which are related to continuous wavelet transforms on homogeneous spaces and they are called localization operators.