Skip to main content
Log in

Cauchy kernels in strictly pseudoconvex domains and an application to a mergelyan type approximation problem

  • Published:
Mathematische Zeitschrift 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.

References

  1. Berndtsson, B., Andersson, M.: Henkin-Ramirez formulas with weight factors. Ann. Inst. Fourier (Grenoble)XXXII, 91–110 (1982)

    Google Scholar 

  2. Bruna, J., Cufi, J.: Some explicit kernels for solving the\(\bar \partial \)-equation in strictly convex domains. Preprint

  3. Carmona, J.J.: A necessary and sufficient condition for uniform approximation by certain rational modules. Proc. Amer. Math. Soc.86, 487–490 (1982)

    Google Scholar 

  4. Charpentier, P.: Formules explicites pur les solutions minimales de l'equation 53-2 dans la boule et dans le polydisque. Ann. Inst. Fourier (Grenoble)XXX, 121–154 (1980)

    Google Scholar 

  5. Henkin, G.M., Cirka, E.M.: Boundary properties of holomorphic functions of several complex variables. J. Soviet Math.5, 612–687 (1976)

    Google Scholar 

  6. Henkin, G.M., Leiterer, J.: Theory of functions on strictly pseudoconvex sets with non-smooth boundary. Akad. Wiss. DDR. Inst. Math. Rep. Math. 02/81 (1981)

  7. Koppelman, W.: The Cauchy integral for differential forms. Bull. Amer. Math. Soc.73, 554–556 (1967)

    Google Scholar 

  8. Øvrelid, N.: Integral representation formulas andL p-estimates for the\(\bar \partial \)-equation. Math. Scand.29, 137–160 (1971)

    Google Scholar 

  9. Skoka, H.: Valeurs au bord pour les solutions de L'opérateurd″ et caracterisation des zéros des fonctions de la classe de Nevanlinna. Bull. Soc. Math. France104, 225–299 (1976)

    Google Scholar 

  10. Trent, T., Wang, J.L.: The uniform closure of rational modules. Bull. London Math. Soc.13, 415–420 (1981)

    Google Scholar 

  11. Verdera, J.: Approximation by rational modules in Sobolev and Lipschitz norms. J. Funct. Anal.58, 267–290 (1984)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bruna, J., Cufi, J. & Verdera, J. Cauchy kernels in strictly pseudoconvex domains and an application to a mergelyan type approximation problem. Math Z 189, 41–53 (1985). https://doi.org/10.1007/BF01246942

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01246942

Keywords

Navigation