Fatou type weighted pointwise convergence of nonlinear singular integral operators Depending on two parameters

In this paper we present some theorems concerning existence and Fatou type weighted pointwise convergence of nonlinear singular integral operators of the form: (Tλf)(x)=∫RKλ(t−x; f(t))dt, x∈R, λ∈Λ$({T_\lambda }f)(x) = \int\limits_R {{K_\lambda }} (t - x;{\rm{ }}f(t))dt,{\rm{ x}} \in R,{\rm{ }}\lamb...

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Bibliographic Details
Main Authors: Uysal Gumrah, Serenbay Sevilay Kirci
Format: Article
Language:English
Published: EDP Sciences 2016-01-01
Series:MATEC Web of Conferences
Online Access:http://dx.doi.org/10.1051/matecconf/20166816002