Marcinkiewicz exponents and their application in boundary-value problems
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2014), pp. 68-71.

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

We introduce certain new characteristics for non-rectifiable curves which allow to sharpen known solvability conditions for so-called jump boundary-value problems on that curves.
Mots-clés : non-rectifiable curves
Keywords: Riemann boundary-value problem, jump problem.
@article{IVM_2014_3_a5,
     author = {D. B. Kats},
     title = {Marcinkiewicz exponents and their application in boundary-value problems},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {68--71},
     publisher = {mathdoc},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_3_a5/}
}
TY  - JOUR
AU  - D. B. Kats
TI  - Marcinkiewicz exponents and their application in boundary-value problems
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2014
SP  - 68
EP  - 71
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2014_3_a5/
LA  - ru
ID  - IVM_2014_3_a5
ER  - 
%0 Journal Article
%A D. B. Kats
%T Marcinkiewicz exponents and their application in boundary-value problems
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2014
%P 68-71
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2014_3_a5/
%G ru
%F IVM_2014_3_a5
D. B. Kats. Marcinkiewicz exponents and their application in boundary-value problems. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2014), pp. 68-71. http://geodesic.mathdoc.fr/item/IVM_2014_3_a5/

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

[2] Muskhelishvili N. I., Singulyarnye integralnye uravneniya, Nauka, M., 1962 | MR

[3] Kats B. A., “Kraevaya zadacha Rimana na nespryamlyaemoi zhordanovoi krivoi”, DAN SSSR, 267:4 (1982), 789–792 | MR | Zbl

[4] Kats B. A., “Zadacha Rimana na zamknutoi zhordanovoi krivoi”, Izv. vuzov. Matem., 1983, no. 4, 68–80 | MR | Zbl

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

[6] Abreu-Blaya R., Bory-Reyes J., Kats B. A., “Integration over non-rectifiable curves and Riemann boundary value problems”, J. Math. Anal. Appl., 380:1 (2011), 177–187 | DOI | MR | Zbl

[7] Kats B. A., “Metricheskie kharakteristiki nespryamlyaemykh dug i zadacha o skachke”, Uchen. zapiski Kazansk. gos. un-ta. Ser. Fiz.-matem. nauki, 150, no. 1, 2008, 56–64 | Zbl

[8] Kats B. A., “The refined metric dimension with applications”, Computat. Methods and Function Theory, 7:1 (2007), 77–89 | DOI | MR | Zbl

[9] Stein I., Singulyarnye integraly i differentsialnye svoistv funktsii, Mir, M., 1973 | MR | Zbl

[10] Dolzhenko E. P., “O “stiranii” osobennostei analiticheskikh funktsii”, UMN, 18:4 (1963), 135–142 | MR | Zbl

[11] Feder E., Fraktaly, Mir, M., 1991 | MR