Weighted approximation by double singular integral operators with radially defined kernels

In this study, we present some results on the weighted pointwise convergence of a family of singular integral operators with radial kernels given in the following form: Lkð f ; x; yÞ where K is a set of non-negative numbers with accumulation point k0, and the function f is measurable on R2 in the sense of Lebesgue.