Convergence of double singular integrals in weighted L_p spaces

Yıl 2016, Cilt: 4 Sayı: 3, 151 - 161, 30.09.2016

Gumrah Uysal , Ertan Ibikli

Öz

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

Anahtar Kelimeler

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

Kaynakça

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