Skip to main content
Log in

Approximation by harmonic functions in theC 1-norm and harmonicC 1-content of compact subsets in ℝn

  • Published:
Mathematical Notes 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. Ahlfors, L., Beurling, A.,Conformal invariants and function-theoretic null-sets, Acta Math.83 (1950), 101–129.

    Google Scholar 

  2. Alexander, H.,Projections of polynomial hulls, J. Funct. Anal13 (1973), 13–19.

    Google Scholar 

  3. Gamelin, T., Khavinson, D.,The isoperimetric inequality and rational approximation, Amer. Math. Month.96 (1989), 18–30.

    Google Scholar 

  4. Khavinson, D.,Annihilating measures of the algebra R(X), J. Funct. Anal.58 (1984), 175–193.

    Google Scholar 

  5. Khavinson, D.,Symmetry and uniform approximation by analytic functions, Proc. Amer. Math. Soc.101 (1987), 475–483.

    Google Scholar 

  6. Khavinson, D.,On uniform approximation by harmonic functions, Michigan Math. J.34 (1987), 465–473.

    Google Scholar 

  7. Paramonov, P.V.,On harmonic approximation in the C 1-norm, Mat. Sb.181 (1990), 1341–1365 (Russian). English transl.: Math. USSR-Sb71(1992), 183–207.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gauthier, P.M., Paramonov, P.V. Approximation by harmonic functions in theC 1-norm and harmonicC 1-content of compact subsets in ℝn . Math Notes 53, 373–378 (1993). https://doi.org/10.1007/BF01210218

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01210218

Keywords

Navigation