Geodesic
Estimates of mixed norms of functions representable by double sine series with multiple-monotone coefficients
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2013), pp. 3-9 
T. M. Vukolova. Estimates of mixed norms of functions representable by double sine series with multiple-monotone coefficients. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2013), pp. 3-9. http://geodesic.mathdoc.fr/item/VMUMM_2013_6_a0/
@article{VMUMM_2013_6_a0,
     author = {T. M. Vukolova},
     title = {Estimates of mixed norms of functions representable by double sine series with multiple-monotone coefficients},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {3--9},
     year = {2013},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2013_6_a0/}
}
TY  - JOUR
AU  - T. M. Vukolova
TI  - Estimates of mixed norms of functions representable by double sine series with multiple-monotone coefficients
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2013
SP  - 3
EP  - 9
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2013_6_a0/
LA  - ru
ID  - VMUMM_2013_6_a0
ER  - 
%0 Journal Article
%A T. M. Vukolova
%T Estimates of mixed norms of functions representable by double sine series with multiple-monotone coefficients
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2013
%P 3-9
%N 6
%U http://geodesic.mathdoc.fr/item/VMUMM_2013_6_a0/
%G ru
%F VMUMM_2013_6_a0

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

In this paper we prove lower and upper bounds for the norms of mixed, i.e., sums of double sine series with multiply monotonous coefficients.

[1] Hardy G.H., “On double Fouries series and especially those which represent the double zeta functions with real and incommensurable parameters”, Quart. J. Math., 37:1 (1906), 53–79

[2] Vukolova T.M., Dyachenko M.I., “Otsenki smeshannykh norm summ dvoinykh trigonometricheskikh ryadov s kratno-monotonnymi koeffitsientami”, Izv. vuzov. Matematika, 1997, no. 7(422), 3–13 | MR

[3] Vukolova T.M., “Otsenki smeshannykh norm summ dvoinykh ryadov po sinusam s kratno-monotonnymi koeffitsientami”, Mat-ly Mezhdunar. konf. “Sovremennye problemy matematiki, mekhaniki i ikh prilozhenii”, posvyaschennoi 70-letiyu rektora MGU, akademika V. A. Sadovnichego, Izd-vo MGU, M., 2009, 74–75

[4] Vukolova T.M., “O svoistvakh funktsii, predstavimykh trigonometricheskimi ryadami po sinusam s kratno-monotonnymi koeffitsientami”, Vestn. Mosk. un-ta. Matem. Mekhan., 2007, no. 6, 61–63 | MR

[5] Vukolova T.M., “O svoistvakh summ ryadov po kosinusam s kratno-monotonnymi koeffitsientami”, Tr. Matem. tsentra im. N. I. Lobachevskogo, 35, Kazan, 2007, 58–60

[6] Vukolova T.M., Dyachenko M.I., “O svoistvakh summ trigonometricheskikh ryadov s monotonnymi koeffitsientami”, Vestn. Mosk. un-ta. Matem. Mekhan., 1995, no. 3, 22–32 | MR

[7] Khardi G.G., Litlvud D.E., Polia G., Neravenstva, IL, M., 1948