On pointwise convergence of bivariate nonlinear singular integral operators

On pointwise convergence of bivariate nonlinear singular integral operators

In this paper, we present some theorems on pointwise convergence and the rate of pointwise convergence for the family of nonlinear bivariate singular integral operators of the following form: whereis a real valued and integrable function on a bounded arbitrary closed, semi-closed or open region in...

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Bibliographic Details
Main Authors: Gumrah Uysal, Mine M. Yilmaz, Ertan Ibikli
Format: Article
Language:English
Published: Elsevier 2017-05-01
Series:Kuwait Journal of Science
Subjects:
Lipschitz condition
pointwise convergence
rate of convergence
nonlinear bivariate integral operator
generalized Lebesgue point
Online Access:https://journalskuwait.org/kjs/index.php/KJS/article/view/1530
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Summary:In this paper, we present some theorems on pointwise convergence and the rate of pointwise convergence for the family of nonlinear bivariate singular integral operators of the following form: whereis a real valued and integrable function on a bounded arbitrary closed, semi-closed or open region in or and is the set of non-negative indices with accumulation point .
ISSN:2307-4108
2307-4116

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