Geodesic
On~some metric properties of the boundary values of functions that are analytic in a~half-plane
Izvestiya. Mathematics , Tome 25 (1985) no. 1, pp. 1-17

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A generalization is given of Kolmogorov's inequality for the Hilbert transform. The inequalities that are obtained are shown to be exact, and all extremal functions are determined. Bibliography: 9 titles. 
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     author = {N. V. Govorov and S. P. Grushevskii},
     title = {On~some metric properties of the boundary values of functions that are analytic in a~half-plane},
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N. V. Govorov; S. P. Grushevskii. On~some metric properties of the boundary values of functions that are analytic in a~half-plane. Izvestiya. Mathematics , Tome 25 (1985) no. 1, pp. 1-17. http://geodesic.mathdoc.fr/item/IM2_1985_25_1_a0/