Geodesic
Validity of A.\,N.~Kolmogorov's theorem for conjugate functions of several variables
Matematičeskie zametki, Tome 32 (1982) no. 1, pp. 13-21.

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@article{MZM_1982_32_1_a2,
     author = {L. V. Zhizhiashvili},
     title = {Validity of {A.\,N.~Kolmogorov's} theorem for conjugate functions of several variables},
     journal = {Matemati\v{c}eskie zametki},
     pages = {13--21},
     publisher = {mathdoc},
     volume = {32},
     number = {1},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1982_32_1_a2/}
}
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L. V. Zhizhiashvili. Validity of A.\,N.~Kolmogorov's theorem for conjugate functions of several variables. Matematičeskie zametki, Tome 32 (1982) no. 1, pp. 13-21. http://geodesic.mathdoc.fr/item/MZM_1982_32_1_a2/