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Convergence of double singular integrals in weighted Lp spaces

Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 3)

Publication Date:

Authors : ; ;

Page : 151-161

Keywords : p-generalized Lebesgue point radial kernel weighted approximation.;

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Abstract

The paper is devoted to the study of pointwise convergence and order of pointwise convergence of by double singular integral operators with radial kernels at p-generalized Lebesgue point. Here, is a weight function and is the collection of all measurable functions for which , where is integrable on D where is bounded, open, semi open or closed region or .

Last modified: 2016-10-30 05:11:23