Convergence of double singular integrals in weighted L_p spaces

Abstract

The paper is devoted to the study of pointwise approximation of functions  by double singular integral operators with radial kernels at generalized Lebesgue points. Here,  is a weight function satisfying some sharp conditions and  is the collection of all measurable and non-integrable functions for which  is integrable on  where  is an arbitrary bounded open, semi open or closed region or

Keywords

• p-generalized Lebesgue point,double singular integral,radial kernel

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