On pointwise convergence of bivariate nonlinear singular integral operators

Uysal, G.Yilmaz, M.M.Ibikli, E.2024-09-292024-09-2920172307-4108https://hdl.handle.net/20.500.14619/9704In 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.eninfo:eu-repo/semantics/closedAccessGeneralized Lebesgue pointLipschitz conditionNonlinear bivariate integral operatorPointwise convergenceRate of convergenceOn pointwise convergence of bivariate nonlinear singular integral operatorsArticle2-s2.0-85019915154572Q24644