- Mathematical Sciences and Applications E-Notes
- Vol: 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 : 13 | Download : 8
Publication Date : 2021-03-01
Article Type : Research
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