Convergence of double singular integrals in weighted L_p spaces

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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