On Convergence of Partial Derivatives of Multidimensional Convolution Operators

Year 2021, Volume: 9 Issue: 1, 9 - 21, 01.03.2021

Gumrah Uysal , Başar Yılmaz

https://doi.org/10.36753/mathenot.763854

Cited By: 1

Abstract

In this paper, we prove some results on convergence properties of higher order partial derivatives of multidimensional convolution-type singular integral operators being applied to the class of functions which are integrable in the sense of Lebesgue.

Keywords

Fatou-type convergence, Approximation of partial derivatives, Integral operators

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