Geodesic
Metric characteristics of closed plane curves with application
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 2, pp. 77-84 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

The author introduces new metric characteristics of dimensional type for closed non-rectifiable curves in the complex plane and proves new conditions of solvability of certain boundary value problem for holomorphic functions in domains with non-rectifiable boundary. 
@article{UZKU_2006_148_2_a7,
     author = {B. A. Kats},
     title = {Metric characteristics of closed plane curves with application},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {77--84},
     year = {2006},
     volume = {148},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2006_148_2_a7/}
}
TY  - JOUR
AU  - B. A. Kats
TI  - Metric characteristics of closed plane curves with application
JO  - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
PY  - 2006
SP  - 77
EP  - 84
VL  - 148
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/UZKU_2006_148_2_a7/
LA  - ru
ID  - UZKU_2006_148_2_a7
ER  - 
%0 Journal Article
%A B. A. Kats
%T Metric characteristics of closed plane curves with application
%J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
%D 2006
%P 77-84
%V 148
%N 2
%U http://geodesic.mathdoc.fr/item/UZKU_2006_148_2_a7/
%G ru
%F UZKU_2006_148_2_a7
B. A. Kats. Metric characteristics of closed plane curves with application. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 2, pp. 77-84. http://geodesic.mathdoc.fr/item/UZKU_2006_148_2_a7/

[1] Gakhov F. D., Kraevye zadachi, Nauka, M., 1977, 640 pp. | MR

[2] Muskhelishvili N. I., Singulyarnye integralnye uravneniya, GIFML, M., 1962, 600 pp.

[3] Kats B. A., “Kraevaya zadacha Rimana na negladkikh dugakh i fraktalnye razmernosti”, Algebra i Analiz, 6:1 (1994), 147–171 | MR | Zbl

[4] Feder E., Fraktaly, Mir, M., 1991, 280 pp. | MR

[5] Kolmogorov A. N., Tikhomirov V. M., “$\varepsilon$-entropiya i ëmkost mnozhestva v funktsionalnykh prostranstvakh”, Uspekhi mat. nauk, 14:2 (1959), 3–86 | MR | Zbl

[6] Kats B. A., Pogodina A. Yu., “O granichnykh znacheniyakh integrala tipa Koshi po negladkoi krivoi”, Izv. vuzov. Matematika, 2002, no. 3, 15–21 | MR | Zbl

[7] Kats B. A., “Granichnye svoistva integrala Koshi po krivoi, teryayuschei spryamlyaemost v tochke”, Izv. vuzov. Matematika, 2006, no. 8, 29–37 | MR

[8] Kats B. A., Pogodina A. Yu., “Zadacha o skachke i ryad Fabera – Shaudera”, Izv. vuzov. Matematika (to appear)

[9] Stein I., Singulyarnye integraly i differentsialnye svoistva funktsii, Mir, M., 1973, 342 pp. | MR

[10] Vekua I. N., Obobschennye analiticheskie funktsii, Mir, M., 1988, 509 pp. | MR

[11] Karleson L., Izbrannye problemy teorii isklyuchitelnykh mnozhestv, Mir, M., 1971, 125 pp. | MR | Zbl