On pointwise convergence of bivariate nonlinear singular integral operators

Küçük Resim Yok

Tarih

2017

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

University of Kuwait

Erişim Hakkı

info:eu-repo/semantics/closedAccess

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: (EQUATION PRESENTED) where f is a real valued and integrable function on a bounded arbitrary closed, semi-closed or open region D = ?a, b? × ?c, d? in ?2 or D = ?2 and A is the set of non-negative indices with accumulation point ?0.

Açıklama

Anahtar Kelimeler

Generalized Lebesgue point, Lipschitz condition, Nonlinear bivariate integral operator, Pointwise convergence, Rate of convergence

Kaynak

Kuwait Journal of Science

WoS Q Değeri

Scopus Q Değeri

Q2

Cilt

44

Sayı

2

Künye