Skip to main content
SpringerLink
Log in

Some Estimates for the Norm of the Bergman Projection on Besov Spaces

  • Published:
Integral Equations and Operator Theory Aims and scope Submit manuscript

Abstract

In this paper we obtain an estimate of the norm of the Bergman projection from L p(D, dλ) onto the Besov space B p , 1 < p < + ∞. The result is asymptotically sharp when p → + ∞. Further for the case P : L 1(D, dλ) → B 1, we consider some weak type inequalities with the corresponding spaces.

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

Similar content being viewed by others

References

  1. Andrews G., Askey R., Roy R.: Special functions. Cambridge University Press, Cambridge (2000)

    MATH  Google Scholar 

  2. Kalaj, D., Marković, M.: Norm of the Bergman projection. Math. Scand. ArXiv:1203.6009v1 (2012, to appear)

  3. Kaptanoğlu, H.T., Üreyen, A.E: Analytic properties of Besov spaces via Bergman projections. Contemp. Math. 455, 169–182 (2008)

    Google Scholar 

  4. Perälä, A.: On the optimal constant for the Bergman projection onto the Bloch space. Ann. Acad. Sci. Fenn. Math. 37, 245–249 (2012)

    Google Scholar 

  5. Stein E.M.: Singular integrals and differentiability properties of functions. Prineceton University Press, Prineceton (1970)

    MATH  Google Scholar 

  6. Zhu, K.: Operator theory in function spaces. In: monographs and textbooks in pure and applied mathematics, vol. 139. Marcel Dekker Inc., New York (1990)

Download references

Author information

Authors and Affiliations

  1. Faculty of Mathematics, University of Montenegro, Cetinjski put bb, 81000, Podgorica, Montenegro

    Djordjije Vujadinović

Authors
  1. Djordjije Vujadinović
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Djordjije Vujadinović.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vujadinović, D. Some Estimates for the Norm of the Bergman Projection on Besov Spaces. Integr. Equ. Oper. Theory 76, 213–224 (2013). https://doi.org/10.1007/s00020-013-2047-3

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00020-013-2047-3

Keywords

Search

Navigation