Geodesic
Weyl multipliers for multiple Fourier series
Sbornik. Mathematics, Tome 18 (1972) no. 2, pp. 351-360 
E. M. Nikishin. Weyl multipliers for multiple Fourier series. Sbornik. Mathematics, Tome 18 (1972) no. 2, pp. 351-360. http://geodesic.mathdoc.fr/item/SM_1972_18_2_a13/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper Weyl multipliers for a multiple series in an arbitrary orthogonal system are found when the multiplier is known for the one-dimensional series. Bibliography: 8 titles.

[1] C. Feferman, “On the divergence of multiple Fourier series”, Bull. Amer. Math. Soc. R., 77:2 (1971) | MR

[2] L. Carleson, “On convergence and growth of partial sums of Fourier series”, Acta Math., 116:1–2 (1966), 135–157 | DOI | MR | Zbl

[3] Sh. Pandzhakidze, “Teorema Menshova–Rademakhera dlya dvoinykh ortogonalnykh ryadov”, Soobscheniya AN GruzSSR, 39:2 (1965)

[4] P. Sjolin, “Convergence almost every where of certain singular integrals and multiple Fourier series”, Arkiw Math., 9:1 (1971), 65–90 | DOI | MR

[5] G. Aleksich, Problemy skhodimosti ortogonalnykh ryadov, IL, Moskva, 1963 | MR

[6] E. M. Nikishin, “Rezonansnye teoremy i funktsionalnye ryady”, Matem. zametki, 10:5 (1971), 583–595

[7] E. M. Nikishin, Rezonansnye teoremy i funktsionalnye ryady, Dissertatsiya, MGU, 1971

[8] E. M. Stein, “On limits of sequences of operators”, Ann. Math., 74 (1961), 140–170 | DOI | MR | Zbl