Geodesic
On the formula of change of integration order for the singular Bochner--Martinelli integral in strictly pseudoconvex domains
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 1, pp. 102-111.

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

It is obtained the Poincare–Bertrand formula for Bochner–Martinelli integral in strictly pseudoconvex domains.
Keywords: Bochner–Martinelli integral, principal value of integral, strictly pseudoconvex domains. 
@article{JSFU_2011_4_1_a10,
     author = {Anastasiya S. Katsunova},
     title = {On the formula of change of integration order for the singular {Bochner--Martinelli} integral in strictly pseudoconvex domains},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {102--111},
     publisher = {mathdoc},
     volume = {4},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2011_4_1_a10/}
}
TY  - JOUR
AU  - Anastasiya S. Katsunova
TI  - On the formula of change of integration order for the singular Bochner--Martinelli integral in strictly pseudoconvex domains
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2011
SP  - 102
EP  - 111
VL  - 4
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2011_4_1_a10/
LA  - ru
ID  - JSFU_2011_4_1_a10
ER  - 
%0 Journal Article
%A Anastasiya S. Katsunova
%T On the formula of change of integration order for the singular Bochner--Martinelli integral in strictly pseudoconvex domains
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2011
%P 102-111
%V 4
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2011_4_1_a10/
%G ru
%F JSFU_2011_4_1_a10
Anastasiya S. Katsunova. On the formula of change of integration order for the singular Bochner--Martinelli integral in strictly pseudoconvex domains. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 1, pp. 102-111. http://geodesic.mathdoc.fr/item/JSFU_2011_4_1_a10/

[1] L. A. Aizenberg, A. P. Yuzhakov, Integralnye predstavleniya i vychety v mnogomernom kompleksnom analize, Nauka, Novosibirsk, 1979 | MR

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

[3] G. M. Khenkin, “Metod integralnykh predstavlenii v kompleksnom analize”, Itogi nauki i tekhniki. Sovremennye problemy matematiki. Fundamentalnye napravleniya, 7, 1985, 23–124 | MR | Zbl

[4] W. Alt, “Singuläre integrale mit gemischten homogenitäten auf mannigrfaltigkeiten und anwendungen in der funktionentheorie”, Math. Zeit., 137:3 (1974), 227–256 | DOI | MR | Zbl

[5] N. Kerzman, E. M. Stein, “The Szegö kernel in terms of Cauchy–Fantappié kernels”, Duke Math. J., 45:3 (1978), 197–224 | DOI | MR | Zbl

[6] A. S. Katsunova, “O nakhozhdenii glavnykh znachenii integrala Bokhnera–Martinelli v strogo psevdovypuklykh oblastyakh”, Sib. el. matem. izv., 7 (2010), 132–139 | MR

[7] M. Bilz, Ch. Feffermen, R. Grossman, Strogo psevdovypuklye oblasti v $\mathbb C^n$, Mir, M., 1987

[8] A. M. Kytmanov, S. G. Myslivets, “O glavnom znachenii po Koshi osobogo integrala Khenkina–Ramireza v strogo psevdovypuklykh oblastyakh prostranstva $\mathbb C^n$”, Sib. matem. zhurn., 46:3 (2005), 625–633 | MR | Zbl