Izvestiya. Mathematics, Tome 7 (1973) no. 4, pp. 949-962
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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/
@article{IM2_1973_7_4_a9,
author = {T. P. Lukashenko},
title = {On $D$-integrable conjugate functions},
journal = {Izvestiya. Mathematics},
pages = {949--962},
year = {1973},
volume = {7},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1973_7_4_a9/}
}
TY - JOUR
AU - T. P. Lukashenko
TI - On $D$-integrable conjugate functions
JO - Izvestiya. Mathematics
PY - 1973
SP - 949
EP - 962
VL - 7
IS - 4
UR - http://geodesic.mathdoc.fr/item/IM2_1973_7_4_a9/
LA - en
ID - IM2_1973_7_4_a9
ER -
%0 Journal Article
%A T. P. Lukashenko
%T On $D$-integrable conjugate functions
%J Izvestiya. Mathematics
%D 1973
%P 949-962
%V 7
%N 4
%U http://geodesic.mathdoc.fr/item/IM2_1973_7_4_a9/
%G en
%F IM2_1973_7_4_a9
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.