Skip to main content
SpringerLink
Log in

On the Hardy spaceH 1 of aC 1 domain

  • Published:
Arkiv för Matematik

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

Bibliography

  1. Calderón, A. P., Cauchy integrals on Lipschitz curves and related operators,Proc. Nat. Acad. Sci. USA.74 (1977), 1324–1327.

    Article  MATH  Google Scholar 

  2. Coifman, R. R., A real variable characterization ofH p,Studia Math. 51 (1974), 269–274.

    MATH  MathSciNet  Google Scholar 

  3. Coifman, R. R. andWeiss, G., Extensions of Hardy spaces and their use in analysis,Bull. Amer. Math. Soc. 83 (1977), 569–645.

    Article  MATH  MathSciNet  Google Scholar 

  4. Dahlberg, B. E. J., On estimates of harmonic measure,Arch. Rational. Mech. Anal.,65 (1977), 272–288.

    Article  MathSciNet  Google Scholar 

  5. Dahlberg, B. E. J., On the Poisson integral for Lipschitz andC 1 domains,to appear, Studia Math.

  6. Dahlberg, B. E. J., Weighted norm inequalities for the Lusin area integral and the nontangential maximal function for functions harmonic in a Lipschitz domain,to appear, Studia Math.

  7. Fabes, E. B., Jodeit, M. Jr andRivière, N. M., Potential techniques for boundary value problems ofC 1-domains,Acta Math. 141 (1978), 165–186.

    Article  MATH  MathSciNet  Google Scholar 

  8. Fabes, E. B. andNeri, U., Dirichlet problem in Lipschitz domains with BMO data,to appear Proc. Amer. Math. Soc.

  9. Fefferman, C., Characterizations of bounded mean oscillation,Bull. Amer. Math. Soc.,77 (1971), 587–588.

    Article  MATH  MathSciNet  Google Scholar 

  10. Fefferman, C., andStein, E. M.,H p spaces of several variables,Acta Math. 129 (1972), 137–193.

    Article  MATH  MathSciNet  Google Scholar 

  11. Hunt, R. A. andWheeden, R. L., On the boundary values of harmonic functions,Trans. Amer. Math. Soc. 132 (1968), 307–322.

    Article  MATH  MathSciNet  Google Scholar 

  12. Jones, P. W.,Constructions with functions of bounded mean oscillation, Ph. d. Thesis, University of Calif., Los Angeles (1978).

  13. Kenig, C. E., WeightedH p spaces on Lipschitz domains,to appear, Amer. Jour. of Math.

  14. Kenig, C. E.,Weighted Hardy spaces on Lipschitz domains, to appear, Proc. 1978 AMS Summer School in Fourier Analysis.

  15. Koranyi, A. andVági, S., Singular integrals on homogeneous spaces and some problems of classical analysis,Annali della sc. Norm. Sup. Pisa XXV (1971), 575–648.

    Google Scholar 

  16. Latter, R. and A characterization ofH P(R n) in terms of atoms,Studia Math. 62 (1978), 93–101.

    MATH  MathSciNet  Google Scholar 

  17. Ricci, F. andWeiss, G.,A characterization of H 1∑(n−-1) to appear, Proc. 1978 AMS Summer School in Fourier Analysis.

  18. Stein, E. M. andWeiss, G., On the theory of harmonic functions of several variables, I.,Acta Math. 103 (1960), 25–62.

    Article  MATH  MathSciNet  Google Scholar 

  19. Stein, E. M. andWeiss, G.,Introduction to Fourier Analysis on Euclidean spaces, Princeton, NJ, 1971.

  20. Varopoulos, N. T., BMO functions and the\(\bar \partial \)-equation,Pacific J. Math. 71 (1977), 221–273.

    MATH  MathSciNet  Google Scholar 

  21. Wu, J. M. G., On functions subharmonic in a Lipschitz domain, Preprint.Proc. Amer. Math. Soc.,68 (1978), 309–316.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mathematics, University of Minnesota, 55455, Minneapolis, Minnesota, USA

    Eugene B. Fabes

  2. Department of Mathematics, Princeton University, 08540, Princeton, New Jersey, USA

    Carlos E. Kenig

Authors
  1. Eugene B. Fabes
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Carlos E. Kenig
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fabes, E.B., Kenig, C.E. On the Hardy spaceH 1 of aC 1 domain. Ark. Mat. 19, 1–22 (1981). https://doi.org/10.1007/BF02384466

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02384466

Keywords

Search

Navigation