Bochner–Martinelli singular integral operator on the hypersurfaces with singular points
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 7 (2007) no. 2, pp. 3-18 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

It is evaluated the conormal symbol for the Bochner–Martinelli singular integral operator on compact smooth hypersurfaces with conic points in $\mathbb{C}^n$ and it is described the $C^*$-algebra, generated by it and its adjoint operator.
@article{VNGU_2007_7_2_a0,
     author = {A. M. Kytmanov and S. G. Myslivets},
     title = {Bochner{\textendash}Martinelli singular integral operator on the hypersurfaces with singular points},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {3--18},
     year = {2007},
     volume = {7},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2007_7_2_a0/}
}
TY  - JOUR
AU  - A. M. Kytmanov
AU  - S. G. Myslivets
TI  - Bochner–Martinelli singular integral operator on the hypersurfaces with singular points
JO  - Sibirskij žurnal čistoj i prikladnoj matematiki
PY  - 2007
SP  - 3
EP  - 18
VL  - 7
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VNGU_2007_7_2_a0/
LA  - ru
ID  - VNGU_2007_7_2_a0
ER  - 
%0 Journal Article
%A A. M. Kytmanov
%A S. G. Myslivets
%T Bochner–Martinelli singular integral operator on the hypersurfaces with singular points
%J Sibirskij žurnal čistoj i prikladnoj matematiki
%D 2007
%P 3-18
%V 7
%N 2
%U http://geodesic.mathdoc.fr/item/VNGU_2007_7_2_a0/
%G ru
%F VNGU_2007_7_2_a0
A. M. Kytmanov; S. G. Myslivets. Bochner–Martinelli singular integral operator on the hypersurfaces with singular points. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 7 (2007) no. 2, pp. 3-18. http://geodesic.mathdoc.fr/item/VNGU_2007_7_2_a0/

[1] Kondratev V. A., “Granichnye zadachi dlya ellipticheskikh uravnenii v oblastyakh s konicheskimi tochkami”, Tr. mosk. mat. o-va, 16, 1967, 209–292 | MR | Zbl

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

[3] Plamenevskii B. A., Algebry psevdodifferentsialnykh operatorov, Nauka, M., 1986 | MR

[4] Stein I., Singulyarnye integraly i differentsialnye svoistva funktsii, Mir, M., 1973 | MR

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

[6] Douglas R. G., Banach Algebra Techniques in Operator Theory, Springer-Verlag, Berlin, 1998 | MR

[7] Schulze B.-W., Boundary Value Problems and Singular Pseudo-Differential Operators, J. Wiley, Chichester, 1998 | MR

[8] Tarkhanov N., Vasilevski N., Microlocal Analysis of the Bochner–Martinelli Integral, Preprint 2005/25, Universitat Potsdam, 2005, 9 pp. | Zbl