Geodesic
Properties of sine series in weighted spaces
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2022), pp. 3-17 
T. M. Vukolova; B. V. Simonov. Properties of sine series in weighted spaces. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2022), pp. 3-17. http://geodesic.mathdoc.fr/item/VMUMM_2022_2_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Sums of double sine series with coefficients multiply monotone by subsequences are studied. Conditions under which these sums belong to weighted spaces are obtained.

[1] Uitteker E.T., Vatson Dzh.N., Kurs sovremennogo analiza, v. 1, Fizmatgiz, M., 1962

[2] Vukolova T.M., Dyachenko M.I., “Otsenki norm summ dvoinykh trigonometricheskikh ryadov s kratno-monotonnymi koeffitsientami”, Izv. vuzov. Matematika, 1994, no. 7, 20–28 | MR | Zbl

[3] Potapov M.K., Berisha M., “Moduli gladkosti i koeffitsienty Fure periodicheskikh funktsii odnogo peremennogo”, Publ. Inst. Math. (Beograd) (N.S.), 26 (1979), 215–228 | Zbl

[4] Simonov B.V., “O ryadakh po sinusam i kosinusam v klassakh $L_\varphi$”, Izv. vuzov. Matematika, 2013, no. 10, 24–42 | Zbl