Yilmaz, Mine MenekseUysal, GumrahIbikli, Ertan2024-09-292024-09-2920141687-1847https://doi.org/10.1186/1687-1847-2014-287https://hdl.handle.net/20.500.14619/6535In this paper we prove the pointwise convergence and the rate of pointwise convergence for a family of singular integral operators with radial kernel in two-dimensional setting in the following form: L-lambda(f; x, y) = integral integral(D) f (s, t) H-lambda (s-x, t-y) ds dt, (x, y) is an element of D, where D = < a, b > x < c, d > (< a, b > x < c, d > is an arbitrary closed, semi-closed or open region in R-2) and lambda epsilon Lambda, Lambda is a set of non-negative numbers with accumulation point lambda(0). Also we provide an example to support these theoretical results.eninfo:eu-repo/semantics/openAccessp-generalized Lebesgue pointradial kernelpointwise convergencerate of convergenceArticle10.1186/1687-1847-2014-2872-s2.0-84924374039Q2WOS:000349826700003Q2