Nakhman A.D., Osilenker B.P.Non-Tangential Convergence of the Generalized Poisson Integral // Scientific article. Journal "Transactions of the TSTU", vol. 21 , Tambov. TSTU publisher house , 2015. (pdf-file) Abstract: The means of Fourier series U( f, y, λ, h) generated by semi-continuous summation methods Λ ={ λk (h) , k = 0, 1, ...; h > 0} are studied. For the points (y,h) ,
belonging to an angular domain Γd (x) , upper estimates of the corresponding maximal operators are obtained. Non-tangential convergence almost everywhere of the generalized Poisson-Abel means, corresponding to a case of λk (h) = exp(-hkα), k = 0,1, ...; α ≥1 , is established.
