Convergence of double singular integrals in weighted L_p spaces

Year 2016, Volume: 4 Issue: 3, 151 - 161, 30.09.2016

Gumrah Uysal Ertan Ibikli

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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