Geodesic
On a generalization of a theorem of N. A. Davydov
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2002), pp. 39-44 Cet article a éte moissonné depuis la source Math-Net.Ru

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B. A. Kats. On a generalization of a theorem of N. A. Davydov. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2002), pp. 39-44. http://geodesic.mathdoc.fr/item/IVM_2002_1_a6/

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

[2] Muskhelishvili N. I., Singulyarnye integralnye uravneniya. Granichnye zadachi teorii funktsii i nekotorye ikh prilozheniya k matematicheskoi fizike, Fizmatgiz, M., 1962, 600 pp.

[3] Davydov N. A., Nekotorye voprosy teorii granichnykh znachenii analiticheskikh funktsii, Dis. ...kand. fiz.-matem. nauk, Moskva, 1949

[4] Rudin U., Osnovy matematicheskogo analiza, Mir, M., 1976, 320 pp.

[5] Young L. C., “General inequalities for Stieltjes integrals and the convergence of Fourier series”, Math. Annalen, Berlin, 115:4 (1938), 581–612 | DOI | MR

[6] Wiener N., “The quadratic variation of a function and its Fourier coefficients”, Massachusetts J. of Math., 3 (1924), 72–94 | Zbl

[7] Young L. C., “An inequality of the Hölder type, connected with Stieltjes integration”, Acta Math., Uppsala, 36:3–4 (1936), 251–282 | DOI | MR

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

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

[10] Lesniewicz R., Orlicz W., “On generalized variation, II”, Studia Math., 45:1 (1973), 71–109 | MR

[11] Vekua I. N., Obobschennye analiticheskie funktsii, Nauka, M., 1988, 512 pp. | MR | Zbl