On Convergence of Partial Derivatives of Multidimensional Convolution Operators

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Mathematical Sciences and Applications E-Notes
Volume:9 Issue:1
On Convergence of Partial Derivatives of Multidimensional Convolution Operators

On Convergence of Partial Derivatives of Multidimensional Convolution Operators

Authors : Gumrah UYSAL, Başar YILMAZ

Pages : 9-21

Doi:10.36753/mathenot.763854

View : 57 | Download : 5

Publication Date : 2021-03-01

Article Type : Research Paper

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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