Skip to main content
SpringerLink
Log in

Factorization of analytic functions having a derivative in Hp

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

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. I. L Privalov, Boundary Properties of Analytic Functions [in Russian], Moscow-Leningrad (1950).

  2. K. Hoffman, Banach Spaces of Analytic Functions, Prentice-Hall (1962).

  3. V. P. Khavin, “Spaces of analytic functions,” in: Progress in Mathematics, Vol. I, Plenum Press, (1968), pp. 76–167.

  4. H. Helson, Lectures on Invariant Subspaces, Academic Press, New York (1964).

    Google Scholar 

  5. M. M. Dzhrbashyan, Integral Transforms and Representations of Functions in a Complex Domain [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  6. L. Carleson, “A representation formula for the Dirichlet integral,” Math. Z.,73, No. 2, 190–196 (1960).

    Google Scholar 

  7. J. G. Caughran, “Factorization of analytic functions withH p derivative,” Duke Math. J.,36, No. 1, 153–158 (1969).

    Google Scholar 

  8. B. I. Korenblyum and V. S. Korolevich, “On analytic functions regular in a disk and smooth on its boundary,” Matem. Zametki,7, No. 2, 165–172 (1970).

    Google Scholar 

  9. L. Carleson, “Sets of uniqueness for functions regular in the unit circle,” Acta Math.,87, 325–345 (1952).

    Google Scholar 

Download references

Authors
  1. S. A. Vinogradov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. A. Shirokov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matimaticheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 22, pp. 8–27, 1971.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vinogradov, S.A., Shirokov, N.A. Factorization of analytic functions having a derivative in Hp . J Math Sci 2, 68–83 (1974). https://doi.org/10.1007/BF01099665

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01099665

Keywords

Search

Navigation