Literature cited
S. M. Nikol'skii, “The Fourier series of a function with a given modulus of continuity,” Dokl. Akad. Nauk SSSR,52, No. 3, 191–194 (1946).
M. I. Kadets, “On weak and strong convergence,” Dokl. Akad. Nauk SSSR,122, No. 1, 13–16 (1958).
A. A. Babaev, “On a certain generalization of the Plemelj-Privalov theorem and its applications,” Uch. Zap. Azerb. Univ. Ser. Fiz.-Mat. Nauk, No. 4, 3–10 (1963).
M. Z. Berkolaiko and Ya. B. Rutitskii, “On a certain class of functional B-spaces,” Dokl. Akad. Nauk SSSR,244, No. 1, 16–19 (1979).
A. I. Guseinov and Kh. Sh. Mukhtarov, Introduction to the Theory of Nonlinear Singular Integral Equations [in Russian], Nauka, Moscow (1980).
N. P. Kuptsov, “Direct and inverse theorems of approximation theory and semigroups of operators,” Usp. Mat. Nauk,23, No. 4, 117–178 (1968).
Yu. I. Brudnyi and V. K. Shalashov, “Lipschitzian function spaces,” in: Metric Questions of the Theory of Functions and Mappings [in Russian], No. IV, Naukova Dumka, Kiev (1973), pp. 3–60.
V. O. Yandarov, “On the topological properties of certain classes of continuous functions,” Soobshch. Akad. Nauk GSSR,83, No. 3, 537–540 (1976).
V. O. Yandarov, “On separable B-spaces,” Soobshch. Akad. Nauk GSSR,98, No. 3, 533–536 (1980).
A. P. Calderon, “Intermediate spaces and interpolation, the complex method,” Stud. Math.,24, 113–190 (1964).
B. V. Khvedelidze, “The method of Cauchy-type integrals in discontinuous boundary-value problems of the theory of holomorphic functions of a complex variable,” Itogi Nauki i Tekhniki, Ser. Sov. Probl. Mat.,7, 5–162 (1975).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 35, No. 4, pp. 473–481, July–August, 1983.
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Yandarov, V.O. Certain classes of functional ℬ-spaces. Ukr Math J 35, 398–406 (1983). https://doi.org/10.1007/BF01093090
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DOI: https://doi.org/10.1007/BF01093090