Abstract
We investigate the accuracy of certain sufficient conditions for multiplicators established by Trigub.
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References
J. B. Garnett, Bounded Analytic Functions, Academic Press, New York (1981).
R. E. Edwards, Fourier Series. A Modern Introduction, Vol. 1, Springer-Verlag, New York (1979).
R. M. Trigub, “Multiplicators in Hardy spaces H p(Dm ) for p ∈ (0, 1] and the approximation properties of summation methods for power series,” Dokl. Ros. Akad. Nauk, 335, No. 6, 697–699 (1994).
R. M. Trigub, “Fourier multiplicators and some problems in the theory of approximation,” in: Abstracts of the International Conference on the Theory of Approximation of Functions [in Russian], Kaluga (1996), pp. 214–216.
V. V. Volchkov, “Multiplicators of power series in Hardy spaces,” in: Abstracts of the International Conference on the Theory of Approximation of Functions [in Russian], Kaluga (1996), pp. 59–60.
A. Zygmund, Trigonometric Series, Vol. 1, Cambridge University Press, Cambridge (1959).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 4, pp. 585–587, April, 1998.
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Volchkov, V.V. On multiplicators of power series in Hardy spaces. Ukr Math J 50, 662–665 (1998). https://doi.org/10.1007/BF02487396
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DOI: https://doi.org/10.1007/BF02487396