Rate of strong differentiation of integrals
Matematičeskie zametki, Tome 59 (1996) no. 4, pp. 565-585.

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The results of the present paper can be viewed as many-parameter analogs of Oskolkov's estimates for the rate of almost everywhere convergence of Steklov means.
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A. M. Stokolos. Rate of strong differentiation of integrals. Matematičeskie zametki, Tome 59 (1996) no. 4, pp. 565-585. http://geodesic.mathdoc.fr/item/MZM_1996_59_4_a8/

[1] Oskolkov K. I., “Approksimativnye svoistva summiruemykh funktsii na mnozhestvakh polnoi mery”, Matem. sb., 103 (145) (1977), 563–589 | MR | Zbl

[2] Kolyada V. I., “Otsenki maksimalnykh funktsii, svyazannykh s lokalnoi gladkostyu”, Dokl. AN SSSR, 293:3 (1987) | MR | Zbl

[3] Gusman M., Differentsirovanie integralov v $\mathbb R^n$, Mir, M., 1978

[4] Ulyanov P. L., “Vlozhenie nekotorykh klassov funktsii $H_p^\omega$”, Izv. AN SSSR, 32 (1968), 649–686 | MR | Zbl

[5] Pandzhikidze L. K., “Teoremy vlozheniya dlya funktsii mnogikh peremennykh”, Soobsch. AN GSSR, 60:1 (1970), 29–31 | MR

[6] Stokolos A. M., “O silnom differentsirovanii integralov funktsii iz klassov Geldera”, Matem. zametki, 55:1 (1994), 84–104 | MR | Zbl

[7] Solyanik A. A., O priblizhenii funktsii iz $H^p$ v verkhnei poluploskosti, Diss. ... k. f.-m. n., OGU, Odessa, 1985