Advertisement

Ukrainian Mathematical Journal

, Volume 52, Issue 10, pp 1606–1617 | Cite as

On Multipliers from Spaces of the Bergman Type to the Hardy Spaces in a Polydisk

  • R. F. Shamoyan
Article
  • 30 Downloads

Abstract

We describe coefficient multipliers from spaces of the Bergman type to the Hardy spaces.

Keywords

Hardy Space Coefficient Multiplier Bergman Type 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

REFERENCES

  1. 1.
    S. V. Shvedenko, “Hardy classes and related spaces of analytic functions in a unit disk, polydisk, and ball,” in: VINITI Series in Mathematical Analysis [in Russian], Vol. 23, VINITI, Moscow (1986), pp. 3–124.Google Scholar
  2. 2.
    M. Nawrocki, “Multipliers, linear functionals, and the Fréchet envelope of the Smirnov class N * (U n),” Trans. Amer. Math. Soc., 322, No.2, 493–506 (1990).Google Scholar
  3. 3.
    R. M. Trigub, “Multipliers of the class H p(\(\mathbb{D}\) m ) and approximation properties of methods for summation of power series,” Dokl. Ros. Akad. Nauk, 335, No.6, 697–699 (1994).Google Scholar
  4. 4.
    H. Triebel, Theory of Function Spaces [Russian translation], Mir, Moscow (1986).Google Scholar
  5. 5.
    P. L. Duren, Theory of Hp Spaces, Academic Press, New York (1970).Google Scholar
  6. 6.
    F. A. Shamoyan, “Diagonal mapping and problems of representation of functions holomorphic in a polydisk in anisotropic spaces,” Sib. Mat. Zh., 30, No.2, 197–214 (1990).Google Scholar
  7. 7.
    D. M. Obelrin, “Two multiplier theorems for H 1 (U 2),” Proc. Edinburgh Math. Soc., 22, No.1, 43–47 (1979).Google Scholar

Copyright information

© Plenum Publishing Corporation 2000

Authors and Affiliations

  • R. F. Shamoyan
    • 1
  1. 1.Bryansk Pedagogic UniversityRussia

Personalised recommendations