On pointwise convergence of bivariate nonlinear singular integral operators

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

KUWAIT JOURNAL OF SCIENCE, cilt.44, sa.2, ss.46-57, 2017 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 2
  • Basım Tarihi: 2017
  • Dergi Adı: KUWAIT JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.46-57
  • Anahtar Kelimeler: Lipschitz condition, pointwise convergence, rate of convergence, nonlinear bivariate integral operator, generalized Lebesgue point
  • Ankara Üniversitesi Adresli: Evet

Özet

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: