Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MZM_1994_55_1_a10, author = {A. M. Stokolos}, title = {On the strong differentiation of integrals of functions from {H\"older} classes}, journal = {Matemati\v{c}eskie zametki}, pages = {84--104}, publisher = {mathdoc}, volume = {55}, number = {1}, year = {1994}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_1994_55_1_a10/} }
A. M. Stokolos. On the strong differentiation of integrals of functions from H\"older classes. Matematičeskie zametki, Tome 55 (1994) no. 1, pp. 84-104. http://geodesic.mathdoc.fr/item/MZM_1994_55_1_a10/
[1] Stokolos A. M., “O silnom differentsirovanii integralov funktsii iz $H_1^{\omega }(I^N)$”, Doklady rasshirennykh zasedanii seminara In-ta prikladnoi matematiki im. I. N. Vekua, 5:2 (1990), 105–107
[2] Stokolos A. M., O skhodimosti pochti vsyudu ryadov Fure funktsii iz klassov $H_1^{\omega_1,\dots,\omega_N}$, Izd-vo S.-Peterburgskogo universiteta, S.-Peterburg, 1992
[3] Zigmund A., Trigonometricheskie ryady, T. 2, Mir, M., 1965
[4] Lebesgue H., “Sur l'intégration des fonctions discontinues”, Ann. Sci. École Norm. Sup., 27:4 (1910), 361–450 | MR
[5] Saks S., “Remarks on the differentiability of the Lebesgue indefinite integral”, Fund. Math., 22 (1934), 257–261 | Zbl
[6] Zygmund A, “On the differentiability of multiple integrals”, Fund. Math., 23 (1934), 143–149 | Zbl
[7] Jessen B., Marcinkewicz J., Zygmund A., “Note on the differentiability of multiple integrals”, Fund. Math., 25 (1935), 217–234 | Zbl
[8] Saks S., “On the strong derivatives of functions of intervalls”, Fund. Math., 1935, 235–252 | Zbl
[9] Kolyada V. I., “O vlozhenii v klassy $\varphi (L)$”, Izv. AN SSSR. Ser. matem., 39:2 (1975), 418–437 | MR | Zbl
[10] Oskolkov K. I., “Approksimativnye svoistva summiruemykh funktsii na mnozhestvakh polozhitelnoi mery”, Matem. sb., 103 (1977), 563–589 | MR | Zbl
[11] Gusman M., Differentsirovanie integralov v $\mathbb R^N$, Mir, M., 1978
[12] Yanushauskas A. I., Kratnye trigonometricheskie ryady, Nauka, Novosibirsk, 1986 | Zbl
[13] Zhizhiashvili L. V., “O nekotorykh voprosakh iz teorii prostykh i kratnykh trigonometricheskikh i ortogonalnykh ryadov”, UMN, 28:2 (1973), 85–119
[14] Dyachenko M. I., “Nekotorye problemy teorii kratnykh trigonometricheskikh ryadov”, UMN, 47:5 (1992), 98–162 | MR
[15] Sjölin P., “Convergence almost everywhere of certain singular integrals and multiple Fousier series”, Ark. math., 9:1 (1971), 65–90 | DOI | MR | Zbl
[16] Fefferman C., “On the convergence of multiple Fousier series”, Bull. Amer. Math. Soc., 77:5 (1971), 744–745 | DOI | MR | Zbl