Geodesic
The exact correction theorem for spaces of functions of generalized bounded variation
Matematičeskie zametki, Tome 56 (1994) no. 5, pp. 10-21.

Voir la notice de l'article provenant de la source Math-Net.Ru

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E. I. Berezhnoi. The exact correction theorem for spaces of functions of generalized bounded variation. Matematičeskie zametki, Tome 56 (1994) no. 5, pp. 10-21. http://geodesic.mathdoc.fr/item/MZM_1994_56_5_a1/

[1] Ryazanov B. V., “O funktsiyakh klassa $V_\gamma $”, Vestn. MGU. Ser. 1. Matem., mekh., 1968, no. 6, 36–39 | Zbl

[2] Waterman D., “On convergence of Fourier series of function of generalized variation”, Studia Math., 44 (1972), 107–112 | MR

[3] Waterman D., “On $\Lambda $-bounded variation”, Studia Math., 57 (1976), 34–45 | MR

[4] Berezhnoi E. I., “Teorema ispravimosti dlya prostranstva funktsii obobschennoi ogranichennoi variatsii”, Matem. zametki, 46:3 (1989), 116–118 | MR | Zbl

[5] Krein S. G., Petunin Yu. I., Semenov E. M., Interpolyatsiya lineinykh operatorov, Nauka, M., 1977

[6] Lindenstrauss J., Tzafriri L., Classical Banach Spaces. V. 1. Seguence Spaces, Springer, Berlin, 1977

[7] Kantorovich L. V., Akilov G. P., Funktsionalnyi analiz, Nauka, M., 1978

[8] Efimov A. V., “Lineinye metody priblizheniya nepreryvnykh neperiodicheskikh funktsii”, Matem. sb., 54:1 (1961), 51–90 | MR | Zbl

[9] Chanturiya Z. A., “O ravnomernoi skhodimosti ryadov Fure”, Matem. sb., 100 (1976), 534–554 | MR | Zbl

[10] Ulyanov P. L., “O rabotakh N. N. Luzina po metricheskoi teorii funktsii”, UMN, 40:3 (1985), 15–70 | MR | Zbl