Geodesic
The angular potential and some of its applications
Sbornik. Mathematics, Tome 32 (1977) no. 4, pp. 423-436 
S. A. Gabov. The angular potential and some of its applications. Sbornik. Mathematics, Tome 32 (1977) no. 4, pp. 423-436. http://geodesic.mathdoc.fr/item/SM_1977_32_4_a2/
@article{SM_1977_32_4_a2,
     author = {S. A. Gabov},
     title = {The angular potential and some of its applications},
     journal = {Sbornik. Mathematics},
     pages = {423--436},
     year = {1977},
     volume = {32},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1977_32_4_a2/}
}
TY  - JOUR
AU  - S. A. Gabov
TI  - The angular potential and some of its applications
JO  - Sbornik. Mathematics
PY  - 1977
SP  - 423
EP  - 436
VL  - 32
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/SM_1977_32_4_a2/
LA  - en
ID  - SM_1977_32_4_a2
ER  - 
%0 Journal Article
%A S. A. Gabov
%T The angular potential and some of its applications
%J Sbornik. Mathematics
%D 1977
%P 423-436
%V 32
%N 4
%U http://geodesic.mathdoc.fr/item/SM_1977_32_4_a2/
%G en
%F SM_1977_32_4_a2

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

In this paper a theory of the angular potential in Hölder classes is constructed, and several of its applications to problems in the theory of harmonic functions are considered. Bibliography: 9 titles.

[1] K. Miranda, Uravneniya s chastnymi proizvodnymi ellipticheskogo tipa, IL, Moskva, 1957

[2] N. I. Muskhelishvili, Singulyarnye integralnye uravneniya, izd-vo «Nauka», Moskva, 1968 | MR

[3] I. N. Vekua, Obobschennye analiticheskie funktsii, Fizmatgiz, Moskva, 1959 | MR

[4] F. D. Gakhov, Kraevye zadachi, Fizmatgiz, Moskva, 1958

[5] S. A. Gabov, “K zadache s kosoi proizvodnoi dlya uravneniya Laplasa”, DAN SSSR, 226:2 (1976), 253–256 | MR | Zbl

[6] S. A. Gabov, “Uglovoi potentsial i zadacha s kosoi proizvodnoi dlya garmonicheskikh funktsii”, ZhVM i MF, 17:3 (1977), 706–717 | MR | Zbl

[7] N. M. Gyunter, Teoriya potentsiala i ee primenenie k osnovnym zadacham matematicheskoi fiziki, Gostekhizdat, Moskva, 1953 | MR

[8] V. I. Smirnov, Kurs vysshei matematiki, t. 4, Gostekhizdat, Moskva–Leningrad, 1951

[9] I. I. Danilyuk, Neregulyarnye granichnye zadachi na ploskosti, izd-vo «Nauka», Moskva, 1975 | MR