Geodesic
On $D$-integrable conjugate functions
Izvestiya. Mathematics , Tome 7 (1973) no. 4, pp. 949-962.

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In this article we prove that the Riesz equality holds for conjugate functions which are Denjoy integrable in the restricted sense. As a corollary one obtains that if the conjugate function is Denjoy integrable in the restricted sense, then the conjugate series coincides with the Fourier–Denjoy series of the conjugate function. 
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     author = {T. P. Lukashenko},
     title = {On $D$-integrable conjugate functions},
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T. P. Lukashenko. On $D$-integrable conjugate functions. Izvestiya. Mathematics , Tome 7 (1973) no. 4, pp. 949-962. http://geodesic.mathdoc.fr/item/IM2_1973_7_4_a9/

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