Skip to main content
Log in

Variations on the theme of Marcinkiewicz’ inequality

  • Published:
Journal d’Analyse Mathématique Aims and scope

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.

References

  1. A. Aleksandrov and P. Kargaev,Hardy classes of functions that are harmonic in a half-space, Algebra & Analysis5 (1993), no. 2, 1–73 (Russian); English transi.: St. Petersburg Math. J.5 (1994), 229–286.

    MATH  MathSciNet  Google Scholar 

  2. C. Bennett and R. Sharpley,Interpolation of Operators, Academic Press, London, 1988.

    MATH  Google Scholar 

  3. M. Essén,Some best constants inequalities for conjugate functions, Internat. Ser. Numer. Math.103, Birkhäuser, Basel, 1992.

    Google Scholar 

  4. M. Essén, D. F. Shea and Ch. S. Stanton,Best constants inequalities for conjugate functions, J. Comput. Appl. Math.105 (1999), 257–264.

    Article  MATH  MathSciNet  Google Scholar 

  5. M. Essén, D. F. Shea and Ch. S. Stanton,Sharp L logαL inequalities for conjugate functions, Institute Mittag-Leffler Report No. 37, 1999/2000.

  6. T. W. Gamelin,Uniform Algebras and Jensen Measures, London Math. Soc. Lecture Note Series, Cambridge University Press, 1978.

  7. A.A. Goldberg and I. V. Ostrovskii,Value Distribution of Meromorphic Functions, Nauka, Moscow, 1970 (Russian).

    Google Scholar 

  8. B. Khabibullin,Sets of uniqueness in spaces of entire functions of one variable, Math. USSR Izv.39 (1992), 1063–1083.

    Article  MathSciNet  Google Scholar 

  9. P. Koosis,Introduction to Hp Spaces, 2nd edn., Cambridge University Press, 1998.

  10. P. Koosis,Leçons sur le théorème de Beurling et Malliavin, Les Publications CRM, Montréal, 1996.

    MATH  Google Scholar 

  11. B. Ya. Levin,On functions holomorphic in a half-plane, Travaux de l’Université d’Odessa (Math)3 (1941), 5–14 (Russian).

    Google Scholar 

  12. B. Ya. Levin,Lectures on Entire Functions, Transi. Math. Monographs, Vol. 150, Amer. Math. Soc., Providence, RI, 1996.

  13. B. Ya. Levin and I. V. Ostrovskii,The dependence of the growth of an entire function on the distribution of the zeros of its derivatives, Sibirsk. Mat. Zh.1 (1960), 427–455 (in Russian); English transi.: Amer. Math. Soc. Transi. (2)32 (1963), 323–357.

    MATH  MathSciNet  Google Scholar 

  14. V. Matsaev and M. Sodin,Variations on the theme of M. Riesz and Kolmogorov, Intern. Math. Res. Notices, no.6 (1999), 287–297.

  15. V. Matsaev and M. Sodin,Distribution of the Hilbert transforms of measures, Geom. Funct. Anal.10 (2000), 160–184.

    Article  MATH  MathSciNet  Google Scholar 

  16. V. Matsaev and M. Sodin,Compact operators with Sp-imaginary component and entire functions, inEntire Functions in Modern Analysis, Boris Levin Memorial Conference, Israel Math. Conf. Proc., Vol. 15, to appear.

  17. R. Nevanlinna,Über die Eigenschaften meromorpher Funktionen in einem Winkelraum, Acta Soc. Sci. Fenn.50, no. 12 (1925).

    Google Scholar 

  18. M. Tsuji,On Borel’s directions of meromorphic functions of finite order, Tôhoku Math. J.2 (1950), 97–112.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. Matsaev.

Additional information

Supported in part by the Israel Science Foundation of the Israel Academy of Sciences and Humanities under Grants Nos. 93/97-1 and 37/00-1.

Supported in part by the INTAS Project No. 96-0858.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Matsaev, V., Ostrovskii, I. & Sodin, M. Variations on the theme of Marcinkiewicz’ inequality. J. Anal. Math. 86, 289–317 (2002). https://doi.org/10.1007/BF02786653

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02786653

Keywords

Navigation