Geodesic
On the almost everywhere convergence of Marcinkiewicz sums of double Fourier series
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 19, Tome 190 (1991), pp. 148-156

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Generalized Marcinkiewicz linear means of double Fourier series are investigated. A sufficient condition for the a.e. convergence of these means is obtained. 
@article{ZNSL_1991_190_a6,
     author = {M. A. Skopina},
     title = {On the almost everywhere convergence of {Marcinkiewicz} sums of double {Fourier} series},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {148--156},
     publisher = {mathdoc},
     volume = {190},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1991_190_a6/}
}
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M. A. Skopina. On the almost everywhere convergence of Marcinkiewicz sums of double Fourier series. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 19, Tome 190 (1991), pp. 148-156. http://geodesic.mathdoc.fr/item/ZNSL_1991_190_a6/