Sokhotskii--Plemelj formula for the Bochner--Martinelli integral in domains with conical wedges
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 1, pp. 77-84.

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They are proved the Privalov theorem, the Sokhotskii–Plemelj formula and the jump theorem for the Bochner–Martinelli integral in bounded domains of $\mathbb C^n$ with singular wedges on the boundary.
Keywords: the Bochner–Martinelli integral,Sokhotskii–Plemelj formula, conical wedge.
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Davlatboi Kh. Dzhumabaev. Sokhotskii--Plemelj formula for the Bochner--Martinelli integral in domains with conical wedges. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 1, pp. 77-84. http://geodesic.mathdoc.fr/item/JSFU_2011_4_1_a8/

[1] A. M. Kytmanov, Integral Bokhnera–Martinelli i ego prilozheniya, Nauka, Novosibirsk, 1992

[2] A. M. Kytmanov, S. G. Myslivets, “Singulyarnyi integralnyi operator Bokhnera–Martinelli na giperpoverkhnostyakh s osobymi tochkami”, Vestnik NGU. Ser. matematika, mekhanika, informatika, 7:2 (2007), 17–32

[3] L. Shvarts, Analiz, Mir, M., 1972

[4] I. Stein, G. Veis, Vvedenie v garmonicheskii analiz na evklidovykh prostranstvakh, Mir, M., 1974 | Zbl

[5] D. Kh. Dzhumabaev, “Teorema o skachke integrala Bokhnera–Martinelli v oblastyakh s kusochno-gladkoi granitsei”, Uzbekskii matematicheskii zhurnal, 2001, no. 1, 14–17 | MR