ON ONE WEIGHTED INEQUALITIES FOR CONVOLUTION TYPE OPERATOR

摘要

In this paper we prove the boundedness of certain convolution operator in a weighted Lebesgue space with kernel satisfying the generalized Hormander's condition. The sufficient conditions for the pair of general weights ensuring the validity of two-weight inequalities of a strong type and of a weak type for convolution operator with kernel satisfying the generalized Hormander's condition are found.