Czechoslovak Mathematical Journal, Vol. 68, No. 4, pp. 987-996, 2018
Necessary and sufficient conditions for the $L^1$-convergence of double Fourier series
Péter Kórus
Received February 2, 2017. First published April 10, 2018.
Abstract: We extend the results of paper of F. Móricz (2010), where necessary conditions were given for the $L^1$-convergence of double Fourier series. We also give necessary and sufficient conditions for the $L^1$-convergence under appropriate assumptions.
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Affiliations: Péter Kórus, Department of Mathematics, Juhász Gyula Faculty of Education, University of Szeged, Hattyas utca 10, H-6725 Szeged, Hungary, e-mail: korpet@jgypk.u-szeged.hu
