@article{SM_1977_31_3_a1,
author = {A. B. Gulisashvili and V. A. Rodin and E. M. Semenov},
title = {Fourier coefficients of summable functions},
journal = {Sbornik. Mathematics},
pages = {319--328},
year = {1977},
volume = {31},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1977_31_3_a1/}
}
A. B. Gulisashvili; V. A. Rodin; E. M. Semenov. Fourier coefficients of summable functions. Sbornik. Mathematics, Tome 31 (1977) no. 3, pp. 319-328. http://geodesic.mathdoc.fr/item/SM_1977_31_3_a1/
[1] E. M. Semenov, “Teoremy vlozheniya dlya banakhovykh prostranstv izmerimykh funktsii”, DAN SSSR, 156:6 (1964), 1292–1295 | Zbl
[2] G. G. Lorentz, “On the theory of spaces $\Lambda$”, Pacific J. Math., 1:3 (1950), 411–429 | MR
[3] M. A. Krasnoselskii, Ya. B. Rutitskii, Vypuklye funktsii i prostranstva Orlicha, Fizmatgiz, M., 1953
[4] A. P. Calderon, “Spaces between $L_1$ and $L_\infty$ and theorem of Marcinkiewicz”, Studia Math., 26:3 (1966), 273–299 | MR | Zbl
[5] B. S. Mityagin, “Interpolyatsionnaya teorema dlya modulyarnykh prostranstv”, Matem. sb., 66(108) (1965), 473–482 | Zbl
[6] A. Zigmund, Trigonometricheskie ryady, t. 1, 2, Nauka, M., 1965
[7] E. Khille, R. Fillips, Funktsionalnyi analiz i polugruppy, IL, M., 1962
[8] V. A. Rodin, “O skhodimosti chastichnykh summ trigonometricheskogo ryada po kosinusam s monotonno ubyvayuschimi koeffitsientami”, Matem. issled., 8:3 (1973), 46–55 | MR | Zbl
[9] A. B. Gulisashvili, “Trigonometricheskie ryady s monotonno ubyvayuschimi koeffitsientami i funktsii raspredeleniya”, Matem. zametki, 10:1 (1971), 3–10 | Zbl
[10] G. G. Lorentz, “Some new functional spaces”, Ann. Math., 51:1 (1950), 37–55 | DOI | MR | Zbl
[11] D. V. Salekhov, “Ob odnom kharakteristicheskom svoistve prostranstva Lorentsa v klasse simmetrichnykh prostranstv”, Matem. zametki, 7:5 (1970), 627–633 | Zbl
[12] C. Bennet, “Banach function spaces and interpolation methods. III: Hausdorff–Young estimates”, J. Approx. Theory, 13:3 (1975), 267–275 | DOI | MR | Zbl