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The aim of this paper is to investigate the pointwise converg ence and the rate of convergence of the operators in the follo wing form: Lλ ( f ;x,y) = ∫∫ Ω f (t,s)Kλ (t,s;x,y)dsdt, (x,y) ∈ Ω , whereΩ =< A,B > × < C,D > is an arbitrary closed, semi-closed or open region in R2, at a μ-generalized Lebesgue point of f ∈ Lp(Ω) as(x,y,λ )→ (x0,y0,λ0) .

A study on convergence of non-convolution type double singular integral operators