Skip to main content
Log in

Some extremal problems for hardy classes of vector-valued functions

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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.

Institutional subscriptions

Literature Cited

  1. F. Erwe, “Koeffizientenproblem für beschränkte Systeme holomorpher Funktionen und Verallgeimeinerung eines Satzes von Carathéodory-Fejér,” Math. Z.,93, No. 3, 210–215 (1966).

    Google Scholar 

  2. F. Erwe, “Abschäzungen für beschränkte Funktionsysteme,” Math. Z.,71, No. 3, 414–426 (1959).

    Google Scholar 

  3. E. Peschl and F. Erwe, “Über beschränkte Systeme von Funktionen,” Math. Ann.,126, No. 3, 185–220 (1953).

    Google Scholar 

  4. A. Renaud, “Quelques propriétés des applications analytiques d'une houle de dimension infinie dans une autre,” Bull. Sci. Math.,97, No. 3, 129–159 (1973).

    Google Scholar 

  5. S. Fisher, Schwarz's lemma for vector-valued analytic functions,” J. Functional Anal.,8, No. 1, 86–91 (1971).

    Google Scholar 

  6. I. M. Tsalyuk, “Extremal problems for vector-valued analytic functions,” Teor. Funktsii Funkts. Anal. Prilozhen., No. 28, 102–112 (1977).

    Google Scholar 

  7. I. M. Tsalyuk, “Extremal problems for Hardy classes of vector-valued functions,” Dokl. Akad. Nauk SSSR,224, No. 1, 46–49 (1975).

    Google Scholar 

  8. S. Ya. Khavinson, “On an extremal problem in the theory of analytic functions,” Usp. Mat. Nauk,4, No. 4, 158–159 (1949).

    Google Scholar 

  9. S. Ya. Khavinson, “On some extremal problems in the theory of analytic functions,” Uch. Zap. Mosk. Gos. Univ., 148; Matematika,4, 133–143 (1951).

    Google Scholar 

  10. E. Hille and R. S. Phillips, Functional Analysis and Semigroups, Amer. Math. Soc. (1974).

  11. R. Edwards, Functional Analysis. Theory and Applications [Russian translation], Mir, Moscow (1969).

    Google Scholar 

  12. R. Ryan, “Boundary values of analytic vector-valued functions,” Proc. Acad. Sci. Amsterdam,65, 558–572 (1962).

    Google Scholar 

  13. R. Ryan, “The F. and M. Riesz theorem for vector measures,” Proc. Acad. Sci. Amterdam,66, 408–412 (1963).

    Google Scholar 

  14. W. W. Rogosinski and H. S. Shapiro, “On certain extremum problems for analytic functions,” Acta Math.,90, No. 3–4, 287–318 (1953).

    Google Scholar 

  15. R. C. James, “Characterization of reflexivity,” Stud. Math.,23, No. 3, 205–216 (1964).

    Google Scholar 

Download references

Authors

Additional information

V. V. Kuibyshev Moscow Institute of Structural Engineering. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 21, No. 2, pp. 195–201, March–April, 1980.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tsalyuk, I.M. Some extremal problems for hardy classes of vector-valued functions. Sib Math J 21, 293–298 (1980). https://doi.org/10.1007/BF00968278

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00968278

Keywords

Navigation