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    On pointwise convergence of bivariate nonlinear singular integral operators
    (University of Kuwait, 2017) Uysal, G.; Yilmaz, M.M.; Ibikli, E.
    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.