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    On pointwise convergence of bivariate nonlinear singular integral operators
    (Academic Publication Council, 2017) Uysal, Gumrah; Yilmaz, Mine M.; Ibikli, Ertan
    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: T(lambda()f;x,y) = integral integral(D) K-lambda (t-x,s-yf(t,s))dsdt, (x,y)is an element of D, lambda is an element of Lambda where f is a real valued and integrable function on a bounded arbitrary closed, semi-closed or open region D = x in R-2 or D = R-2 and Lambda is the set of non-negative indices with accumulation point lambda(0)