Geodesic
Localization for Multiple Fourier Series with ``$J_k$-Lacunary Sequence of Partial Sums'' in Orlicz Classes
Matematičeskie zametki, Tome 95 (2014) no. 1, pp. 26-36.

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We obtain structural and geometric characteristics of sets on which weak generalized localization almost everywhere is valid for multiple trigonometric Fourier series of functions in the classes $L(\log^+L)^{3k+2}(\mathbb T^N)$, $1\le k\le N-2$, $N\ge 3$, in the case where the rectangular partial sums of these series have a “number” in which exactly $k$ components are terms of lacunary sequences.
Keywords: trigonometric Fourier series, lacunary sequence of partial sums, localization for Fourier series, Orlicz class of functions
Mots-clés : Lebesgue measure. 
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     title = {Localization for {Multiple} {Fourier} {Series} with ``$J_k${-Lacunary} {Sequence} of {Partial} {Sums''} in {Orlicz} {Classes}},
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I. L. Bloshanskii; Z. N. Tsukareva. Localization for Multiple Fourier Series with ``$J_k$-Lacunary Sequence of Partial Sums'' in Orlicz Classes. Matematičeskie zametki, Tome 95 (2014) no. 1, pp. 26-36. http://geodesic.mathdoc.fr/item/MZM_2014_95_1_a2/

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