@article{SM_1989_62_2_a5,
author = {V. G. Krotov},
title = {On the smoothness of {Luzin} primitives and on theorems of {Men'shov}},
journal = {Sbornik. Mathematics},
pages = {403--419},
year = {1989},
volume = {62},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1989_62_2_a5/}
}
V. G. Krotov. On the smoothness of Luzin primitives and on theorems of Men'shov. Sbornik. Mathematics, Tome 62 (1989) no. 2, pp. 403-419. http://geodesic.mathdoc.fr/item/SM_1989_62_2_a5/
[1] Luzin N. N., “K osnovnoi teoreme integralnogo ischisleniya”, Matem. sb., 28 (1912), 266–294
[2] Luzin N. N., Integral i trigonometricheskii ryad, GITTL, M., 1951 | MR
[3] Ulyanov P. L., “O rabotakh N. N. Luzina po metricheskoi teorii funktsii”, UMN, 40:3 (1985), 15–70 | MR
[4] Menshov D. E., “Sur la representation des fonctions mesurables par des series trigonometriques”, Matem. sb., 9(51) (1941), 667–692 | MR
[5] Bari N. K., “O primitivnykh funktsiyakh i trigonometricheskikh ryadakh, skhodyaschikhsya pochti vsyudu”, Matem. sb., 31(73), 687–702 | MR | Zbl
[6] Bari N. K., Trigonometricheskie ryady, Fizmatgiz, M., 1961 | MR
[7] Kahane J.-P., “Trois notes sur les ensembles parfais linéares”, Enseignement Math., 15 (1969), 185–192 | MR
[8] Kashin B. S, Saakyan A. A., Ortogonalnye ryady, Nauka, M., 1984 | MR | Zbl
[9] Matveev V. A., “O ryadakh po sisteme Shaudera”, Matem. zametki, 2 (1967), 267–278 | MR | Zbl
[10] Garg K. M., “Characterization of absolutely continuous and singular functions”, Proc. Conf. Constr. Function Theory, Aug. 24–Sept. 3, 1969, Budapest, 1972 | MR
[11] John F., Nirenberg L., “On functions of bounded mean oscillation”, Comm. Pure Appl. Math., 14 (1961), 415–426 | DOI | MR | Zbl
[12] Stein E. M., Singulyarnye integraly i differentsialnye svoistva funktsii, Mir, M., 1973 | MR
[13] Zygmund A., “Smooth functions”, Duke Math. J., 12 (1945), 47–76 | DOI | MR | Zbl