Strongly singular convolution operators on the weighted Herz-type Hardy spaces

Let 0<p<l<g<0, and wi,W2 6 AI (Muckenhoupt-class). In this paper the authors prove that the strongly singular convolution operators are bounded from the homogeneous weighted Herz-type Hardy spaces HK'p(wi\w?) to the homogeneous weighted Herz spaces Kq ^aF(wi;w2), provided a = n|l -JT). Moreover, the bôundedness of these operators on the non-homogeneous weighted Herz-type Hardy spaces HKg ^p(wi;wz) is also investigated.