Geodesic
A multidimensional analog of a theorem due to Zygmund
Matematičeskie zametki, Tome 61 (1997) no. 5, pp. 717-727 Cet article a éte moissonné depuis la source Math-Net.Ru

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Zygmund proved an inequality describing the dependence of the modulus of continuity of the adjoint function on that of the original function lying in the space of $2\pi$-periodic continuous functions. The present article contains estimates of partial moduli of continuity of the adjoint function of several variables in the space $C$. Examples show that these estimates are sharp. 
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V. A. Okulov. A multidimensional analog of a theorem due to Zygmund. Matematičeskie zametki, Tome 61 (1997) no. 5, pp. 717-727. http://geodesic.mathdoc.fr/item/MZM_1997_61_5_a8/

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