Geodesic
Пересечение множества экстремальных функций для двух функционалов
Problemy analiza, no. 17 (2010), pp. 3-14 
I. S. Efremova. Пересечение множества экстремальных функций для двух функционалов. Problemy analiza, no. 17 (2010), pp. 3-14. http://geodesic.mathdoc.fr/item/PA_2010_17_a0/
@article{PA_2010_17_a0,
     author = {I. S. Efremova},
     title = {{\CYRP}{\cyre}{\cyrr}{\cyre}{\cyrs}{\cyre}{\cyrch}{\cyre}{\cyrn}{\cyri}{\cyre} {\cyrm}{\cyrn}{\cyro}{\cyrzh}{\cyre}{\cyrs}{\cyrt}{\cyrv}{\cyra} {\cyrerev}{\cyrk}{\cyrs}{\cyrt}{\cyrr}{\cyre}{\cyrm}{\cyra}{\cyrl}{\cyrsftsn}{\cyrn}{\cyrery}{\cyrh} {\cyrf}{\cyru}{\cyrn}{\cyrk}{\cyrc}{\cyri}{\cyrishrt} {\cyrd}{\cyrl}{\cyrya} {\cyrd}{\cyrv}{\cyru}{\cyrh} {\cyrf}{\cyru}{\cyrn}{\cyrk}{\cyrc}{\cyri}{\cyro}{\cyrn}{\cyra}{\cyrl}{\cyro}{\cyrv}},
     journal = {Problemy analiza},
     pages = {3--14},
     year = {2010},
     number = {17},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PA_2010_17_a0/}
}
TY  - JOUR
AU  - I. S. Efremova
TI  - Пересечение множества экстремальных функций для двух функционалов
JO  - Problemy analiza
PY  - 2010
SP  - 3
EP  - 14
IS  - 17
UR  - http://geodesic.mathdoc.fr/item/PA_2010_17_a0/
LA  - ru
ID  - PA_2010_17_a0
ER  - 
%0 Journal Article
%A I. S. Efremova
%T Пересечение множества экстремальных функций для двух функционалов
%J Problemy analiza
%D 2010
%P 3-14
%N 17
%U http://geodesic.mathdoc.fr/item/PA_2010_17_a0/
%G ru
%F PA_2010_17_a0

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

Research extremal problem for linear functional in $U'_{\alpha}$ is studied. In particular, a form of extremal function is got.

[1] Pommerenke Ch., “Linear-invariante Familien analuyischer Functionen”, Math. Ann., 155 (1964), 108–154 | DOI | MR | Zbl

[2] Campbell D. M., “Locally univalent functions with locally univalent derivatives”, Trans. Amer. Math. Soc., 162 (1971) | DOI | MR

[3] Godulya Ya., “Lineino-invariantnye semeistva”, Trudy PetrGU, 1998, no. 5, 3–96 | MR | Zbl

[4] Bieberbach L., “Uber die Koeffizienten derjenigen Potenzreihen welche eine schlichte Abbildung des Einheitskreises vermitteln, sitzungsber”, Preuss. Akad. Wiss. Phys. Math. Kl., 138 (1916), 940–955

[5] Goluzin G. M., Geometricheskaya teoriya funktsii kompleksnogo peremennogo, Nauka, M., 1996, 628 pp. | MR

[6] Starkov V. V., “O nekotorykh podklassakh lineino-invariantnykh semeistv, imeyuschikh integralnoe predstavlenie”, VINITI, 3341-81, 49 pp.

[7] Starkov V. V., “O nekotorykh podklassakh lineino-invariantnykh semeistv, imeyuschikh integralnoe predstavlenie”, Izvestiya vuzov. Seriya Matematika, 1983, no. 5, 82–85 | MR | Zbl

[8] Aleksandrov I. A., Metody geometricheskoi teorii analiticheskikh funktsii, Izd-vo Tomskogo gosudarstvennogo universiteta, Tomsk, 2001 | Zbl

[9] Kolmogorov A. P., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1968 | MR | Zbl