Geodesic
An exponential estimate for the cubic partial sums of multiple Fourier series
Izvestiya. Mathematics , Tome 83 (2019) no. 2, pp. 273-286

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We prove an exponential integral estimate for the cubic partial sums of multiple Fourier series on sets of large measure. This estimate yields some new properties of Fourier series.
Keywords: multiple Fourier series, exponential integral estimates, cubic partial sums. 
@article{IM2_2019_83_2_a5,
     author = {G. A. Karagulyan and H. Mkoyan},
     title = {An exponential estimate for the cubic partial sums of multiple {Fourier} series},
     journal = {Izvestiya. Mathematics },
     pages = {273--286},
     publisher = {mathdoc},
     volume = {83},
     number = {2},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2019_83_2_a5/}
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G. A. Karagulyan; H. Mkoyan. An exponential estimate for the cubic partial sums of multiple Fourier series. Izvestiya. Mathematics , Tome 83 (2019) no. 2, pp. 273-286. http://geodesic.mathdoc.fr/item/IM2_2019_83_2_a5/