On pointwise convergence of bivariate nonlinear singular integral operators

Uysal G., Yilmaz M. M., Ibikli E.

KUWAIT JOURNAL OF SCIENCE, vol.44, no.2, pp.46-57, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 2
  • Publication Date: 2017
  • Journal Name: KUWAIT JOURNAL OF SCIENCE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.46-57
  • Keywords: Lipschitz condition, pointwise convergence, rate of convergence, nonlinear bivariate integral operator, generalized Lebesgue point
  • Ankara University Affiliated: Yes

Abstract

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: