Geodesic
Contour-solid results for holomorphic functions
Izvestiya. Mathematics , Tome 29 (1987) no. 1, pp. 193-205.

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

Both local and global contour-solid theorems for holomorphic functions of a complex variable are presented, with proofs, under essentially weakened restrictions on the functions, for arbitrary bilogarithmically concave (in a generalized sense) majorants, in arbitrary open sets. Some properties of subharmonic functions that are used to prove the contour-solid results are also established. Bibliography: 16 titles. 
@article{IM2_1987_29_1_a10,
     author = {P. M. Tamrazov},
     title = {Contour-solid results for holomorphic functions},
     journal = {Izvestiya. Mathematics },
     pages = {193--205},
     publisher = {mathdoc},
     volume = {29},
     number = {1},
     year = {1987},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1987_29_1_a10/}
}
TY  - JOUR
AU  - P. M. Tamrazov
TI  - Contour-solid results for holomorphic functions
JO  - Izvestiya. Mathematics 
PY  - 1987
SP  - 193
EP  - 205
VL  - 29
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1987_29_1_a10/
LA  - en
ID  - IM2_1987_29_1_a10
ER  - 
%0 Journal Article
%A P. M. Tamrazov
%T Contour-solid results for holomorphic functions
%J Izvestiya. Mathematics 
%D 1987
%P 193-205
%V 29
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1987_29_1_a10/
%G en
%F IM2_1987_29_1_a10
P. M. Tamrazov. Contour-solid results for holomorphic functions. Izvestiya. Mathematics , Tome 29 (1987) no. 1, pp. 193-205. http://geodesic.mathdoc.fr/item/IM2_1987_29_1_a10/

[1] Tamrazov P. M., “Konturnye i telesnye strukturnye svoistva golomorfnykh funktsii kompleksnogo peremennogo”, Uspekhi mat. nauk, 28:1 (1973), 131–161 | MR | Zbl

[2] Tamrazov P. M., Gladkosti i polinomialnye priblizheniya, Naukova dumka, Kiev, 1975, 272 pp. | MR | Zbl

[3] Schekhorskii A. I., Mazhorantnye svoistva golomorfnykh funktsii klassa Geldera, Preprint 82.41, In-t matematiki AN USSR, Kiev, 1982, 16 pp.

[4] Tamrazov P. M., Konturno-telesnye teoremy dlya golomorfnykh funktsii i otobrazhenii, Preprint 82.42, In-t matematiki AN USSR, Kiev, 1982, 11 pp. | MR | Zbl

[5] Tamrazov P. M., “Konturno-telesnye svoistva golomorfnykh funktsii i otobrazhenii s bilogarifmicheski vognutymi mazhorantami”, Dokl. AN SSSR, 270:4 (1983), 791–795 | MR | Zbl

[6] Tamrazov P. M., Konturno-telesnye teoremy s bilogarifmicheski vognutymi mazhorantami, Preprint 83.11, In-t matematiki AN USSR, Kiev, 1983, 18 pp. | MR

[7] Gehring F. W., Hayman W. K., Hinkkanen A., “Analytic Functions satisfying Hölder conditions on the boundary”, J. Approx. Theory, 35:3 (1982), 243–249 | DOI | MR | Zbl

[8] Tamrazov P. M., “Konturno-telesnye svoistva golomorfnykh funktsii i otobrazhenii odnogo i mnogikh kompleksnykh peremennykh”, Mezhdunarodnaya konferentsiya po teorii priblizheniya funktsii (Kiev, 30 maya-6 iyunya 1983, Tez. dokl.), In-t matematiki AN USSR, Kiev, 1983, 177 | Zbl

[9] Tamrazov P. M., Konturno-telesnye svoistva golomorfnykh funktsii i otobrazhenii, Preprint 83.33, In-t matematiki AN USSR, Kiev, 1983, 17 pp. | MR

[10] Tamrazov P. M., Konturno-telesnye zadachi dlya golomorfnykh funktsii i otobrazhenii, Preprint 83.65, In-t matematiki AN USSR, Kiev, 1983, 50 pp. | MR

[11] Kheiman U., Kennedi P., Subgarmonicheskie funktsii, Mir, M., 1980, 304 pp.

[12] Brelo M., Osnovy klassicheskoi teorii potentsiala, Mir, M., 1964, 213 pp. | MR | Zbl

[13] Landkof N. S., Osnovy sovremennoi teorii potentsiala, Nauka, M., 1966, 516 pp. | MR | Zbl

[14] Hayman W. K., “Slowly growing integral and subharmonic functions”, Comment. Math. Helv., 34 (1960), 75–84 | DOI | MR | Zbl

[15] Barry P. D., “The minimum modulus of small integral and subharmonic functions”, Proc. London Math. Soc., XII (1962), 446–495 | MR

[16] Essen M., Hayman W. K., Huber A., “Slowly growing subharmonic functions. I”, Comment. Math. Helv., 51 (1977), 1–28 | MR