Some structure properties of conjugate functions in $L(T^N)$
Sbornik. Mathematics, Tome 189 (1998) no. 5, pp. 727-756

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Estimates of partial integral moduli of continuity of a conjugate function of several variables in terms of the corresponding moduli of continuity of the original functions are presented. In the case of a conjugate function to a function with partial moduli of continuity satisfying the Lipschitz condition the result obtained is best possible.
@article{SM_1998_189_5_a4,
     author = {V. A. Okulov},
     title = {Some structure properties of conjugate functions in $L(T^N)$},
     journal = {Sbornik. Mathematics},
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     volume = {189},
     number = {5},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1998_189_5_a4/}
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V. A. Okulov. Some structure properties of conjugate functions in $L(T^N)$. Sbornik. Mathematics, Tome 189 (1998) no. 5, pp. 727-756. http://geodesic.mathdoc.fr/item/SM_1998_189_5_a4/