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Ukrainian Mathematical Journal

, Volume 53, Issue 3, pp 476–481 | Cite as

On Multipliers in Hardy Spaces

  • Vit. V. Volchkov
Article
  • 34 Downloads

Abstract

We investigate the accuracy of certain sufficient conditions for multipliers of power series in Hardy spaces.

Keywords

Power Series Hardy Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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REFERENCES

  1. 1.
    R. E. Edwards, Fourier Series. A Modern Introduction Vol. 2, Springer, New York (1982).Google Scholar
  2. 2.
    R. M. Trigub, “Multipliers in the Hardy space H p \(\left( {D^m } \right)\)for p ∈(0,1] and approximation properties of methods for summation of power series,” Dokl. Akad. Nauk Rossii 335, No. 6, 697–699 (1994).Google Scholar
  3. 3.
    R. M. Trigub, “Multipliers in the Hardy spaces H p \(\left( {D^m } \right)\)for p ∈ (0,1] and approximation properties of methods for summation of power series,” Mat. Sb. 188, No. 4, 145–160 (1997).Google Scholar
  4. 4.
    R. M. Trigub, “Absolute convergence of Fourier integrals, summability of Fourier series, and polynomial approximation of functions on a torus,” Izv. Akad. Nauk SSSR, Ser. Mat. 44, No. 6, 1386–1409 (1980).Google Scholar
  5. 5.
    Vit. V. Volchkov, “On multipliers of power series in Hardy spaces,” Ukr. Mat. Zh. 50, No. 4, 585–587 (1998).Google Scholar
  6. 6.
    V. V. Volchkov, “Multipliers 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.Google Scholar
  7. 7.
    R. C. Vaughan, “The L 1 mean of exponential sums over primes,” Bull. London Math. Soc. 20, No. 2, 121–123 (1988).Google Scholar
  8. 8.
    A. A. Karatsuba, Fundamentals of Analytic Number Theory [in Russian], Nauka, Moscow (1983).Google Scholar
  9. 9.
    E. Trost, Primzahlen [Russian translation], Fizmatgiz, Moscow (1959).Google Scholar

Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • Vit. V. Volchkov
    • 1
  1. 1.Donetsk UniversityDonetsk

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