This is a preview of subscription content, log in via an institution to check access.
Literature cited
É. S. Belinskii, “The behavior of the Lebesgue constants of certain methods of summations of multiple Fourier series,” in: Metric Questions of the Theory of Functions and Mappings [in Russian], G. D. Suvorov and V. I. Belyi (eds.), Naukova Dumka, Kiev (1977), pp. 19–39.
I. K. Daugavet, “On the Lebesgue constants for double Fourier series,” in: Methods of Computation [in Russian], No. 6, Leningrad State Univ. (1970), pp. 8–13.
O. I. Kuznetsova, “On certain properties of polynomial operators of triangular form in the space of continuous periodic functions of two variables,” Dokl. Akad. Nauk SSSR,223, 1304–1306 (1975).
A. Zygmund, Trigonometric Series, 2nd ed., Vol. I, Cambridge Univ. Press (1959).
B. Sz. Nagy, “Sur un class genérale des processes de sommation de Séries de Fourier,” Acta Math. Hung.,1, No. 3, 14–52 (1948).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 36, No. 3, pp. 359–368, September, 1984.
The author thanks V. V. Zhuk and A. N. Podkorytov for assistance with the note.
Rights and permissions
About this article
Cite this article
Skopina, M.A. Lebesgue constants of conjugate fourier sums in the multidimensional case. Mathematical Notes of the Academy of Sciences of the USSR 36, 678–682 (1984). https://doi.org/10.1007/BF01141939
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01141939