Geodesic
Continuity and compactness of singular integral operators
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2009), pp. 3-10 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the space of square integrable functions we establish effective sufficient continuity and compactness conditions for singular integral operators with Cauchy kernels on a segment of the real axis.
Keywords: space of square integrable functions, singular integral with Cauchy kernel, linear operator, continuity, compactness. 
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     author = {B. G. Gabdulkhaev},
     title = {Continuity and compactness of singular integral operators},
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B. G. Gabdulkhaev. Continuity and compactness of singular integral operators. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2009), pp. 3-10. http://geodesic.mathdoc.fr/item/IVM_2009_8_a0/

[1] Muskhelishvili N. I., Singulyarnye integralnye uravneniya, Nauka, M., 1968, 512 pp. | MR | Zbl

[2] Gakhov F. D., Kraevye zadachi, Nauka, M., 1977, 638 pp. | MR | Zbl

[3] Michlin S. G., Prößdorf S., Singuläre Integraloperatoren, Akademic-Verlag, Berlin, 1980, 514 pp. | MR | Zbl

[4] Gabdulkhaev B. G., Optimalnye approksimatsii reshenii lineinykh zadach, Izd-vo Kazansk. un-ta, Kazan, 1980, 232 pp. | MR

[5] Gabdulkhaev B. G., Pryamye metody resheniya singulyarnykh integralnykh uravnenii pervogo roda, Izd-vo Kazansk. un-ta, Kazan, 1994, 288 pp. | MR

[6] Gabdulkhaev B. G., Chislennyi analiz singulyarnykh integralnykh uravnenii. Izbrannye glavy, Izd-vo Kazansk. un-ta, Kazan, 1995, 230 pp. | MR

[7] Kantorovich L. V., Akilov G. P., Funktsionalnyi analiz, Nauka, M., 1977, 744 pp. | MR

[8] Mikhlin S. G., Kurs matematicheskoi fiziki, Fizmatgiz, M., 1969, 575 pp.

[9] Titchmarsh E., Vvedenie v teoriyu integralov Fure, Gostekhizdat, M., 1948, 460 pp.