Skip to main content
Log in

Description of Linear Continuous Functionals in the A*(ω) Space

  • Published:
Lobachevskii Journal of Mathematics Aims and scope Submit manuscript

Abstract

In this paper we study certain properties of holomorphic functions in the A*(ω) weighted space in a disk. The complete description of linear continuous functionals in the A*(ω) space is obtained.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. M. Dzhrbashyan, “On the canonical representation of meromorphic functions in the unit circle,” Dokl. Akad. Nauk Arm. SSR 3(1), 3–9 (1945).

    MathSciNet  Google Scholar 

  2. M. M. Dzhrbashyan, “On the problem of the representability of analytic functions,” Tr. Inst. Mat. Mekh. Akad. Nauk Arm. SSR, No. 3, 3–55 (1948).

  3. I. I. Privalov, Boundary Properties of Analytical Functions (Izd. Dom Tekh. Teor. Liter., Moscow, 1950) [in Russian].

    Google Scholar 

  4. M. M. Dzhrbashyan and V. S. Zakharyan, Classes and Boundary Properties of Meromorphic Functions in a Circle (Nauka, Moscow, 1993) [in Russian].

    Google Scholar 

  5. V. I. Sobolev, Elements of Functional Analysis (Nauka, Moscow, 1965) [in Russian].

    Google Scholar 

  6. V. S. Zakharyan and P. A. Matevosyan, “Estimation of Taylor coefficients in the A*(ω) space,” in Vesnik-76, SEUA, Collection of Scientific and Methodological Articles (Yerevan, 2009), Vol. 1, pp. 3–7.

    Google Scholar 

  7. V. S. Zakharyan and P. A. Matevosyan, “The class A*(ω) as a locally bounded F-space,” Dokl. Akad. Nauk Arm. 110, 105–112 (2010).

    MathSciNet  Google Scholar 

  8. P. A. Matevosyan, “Multiplicative properties of holomorphic functions in a disk,” in Vestnik-80, SEUA, Collection of Scientific and Methodological Articles (Yerevan, 2013), Vol. 1, pp. 15–19.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to V. S. Zakharyan or P. A. Matevosyan.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zakharyan, V.S., Matevosyan, P.A. Description of Linear Continuous Functionals in the A*(ω) Space. Lobachevskii J Math 40, 1141–1145 (2019). https://doi.org/10.1134/S1995080219080237

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1995080219080237

Keywords and phrases

Navigation