Geodesic
Linear conjugation problem for analytic functions in the weighted Hölder spaces
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2015), pp. 56-61 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We consider the classical problem of linear conjugation for analytic functions on piecewise-smooth curve in the whole scale of weighted Hölder spaces and describe its solvability in dependence on a weight order.
Keywords: linear conjugation, weight spaces, canonical function, resolvability conditions.
Mots-clés : Cauchy index 
@article{IVM_2015_9_a5,
     author = {G. N. Aver'yanov and A. P. Soldatov},
     title = {Linear conjugation problem for analytic functions in the weighted {H\"older} spaces},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {56--61},
     year = {2015},
     number = {9},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_9_a5/}
}
TY  - JOUR
AU  - G. N. Aver'yanov
AU  - A. P. Soldatov
TI  - Linear conjugation problem for analytic functions in the weighted Hölder spaces
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2015
SP  - 56
EP  - 61
IS  - 9
UR  - http://geodesic.mathdoc.fr/item/IVM_2015_9_a5/
LA  - ru
ID  - IVM_2015_9_a5
ER  - 
%0 Journal Article
%A G. N. Aver'yanov
%A A. P. Soldatov
%T Linear conjugation problem for analytic functions in the weighted Hölder spaces
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2015
%P 56-61
%N 9
%U http://geodesic.mathdoc.fr/item/IVM_2015_9_a5/
%G ru
%F IVM_2015_9_a5
G. N. Aver'yanov; A. P. Soldatov. Linear conjugation problem for analytic functions in the weighted Hölder spaces. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2015), pp. 56-61. http://geodesic.mathdoc.fr/item/IVM_2015_9_a5/

[1] Muskhelishvili N. I., Singulyarnye integralnye uravneniya, Nauka, M., 1968 | MR

[2] Gakhov F. D., Kraevye zadachi, Fizmatgiz, M., 1963 | MR

[3] Soldatov A. P., Odnomepnye singulyapnye opepatopy i kpaevye zadachi teopii funktsii, Vyssh. shkola, M., 1991 | MR

[4] Soldatov A. P., “Obobschennyi integral tipa Koshi”, Diffepents. upavneniya, 27:2 (1991), 3–8 | Zbl

[5] Soldatov A. P., “Kpaevaya zadacha lineinogo soppyazheniya teopii funktsii”, Izv. AH SSSR. Sep. matem., 43:1 (1979), 184–202 | MR | Zbl