Skip to main content
Log in

A formulation of the analytic Radon-Nikodým property by temperature functions

  • Published:
Archiv der Mathematik 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. A.Erdelyi, W.Magnus, F.Oberhettinger and F. G.Tricomi, eds., Tables of Integral Transforms, Vol. 2. New York-Toron to-London 1954.

  2. H. S. Bear, Hardy spaces of heat functions. Trans. Amer. Math. Soc.301, 831–844 (1987).

    Google Scholar 

  3. O. Blasco, Boundary values of functions in vector-valued Hardy spaces and geometry on Banach spaces. J. Funct. Anal.78, 346–364 (1988).

    Google Scholar 

  4. A. V. Bukhvalov andA. A. Danilevich, Boundary properties of analytic and harmonic functions with values in Banach spaces (Russian). Mat. Zametki31, 203–214 (1982), English translation: Math. Notes32, 104–110 (1982).

    Google Scholar 

  5. J. R.Cannon, The one-dimensional Heat Equation. Encyclopaedia Math. Appi.23, Menio-Park 1984.

  6. J.Diestel and J. J.Uhl, Vector Measures. Math. Surveys15, Providence 1977.

  7. J.García-Cuerva and J. L.Rubio de Francia, Weighted norm inequalities and related topics. Notas Mat.116, Amsterdam 1985.

  8. M.Guzmán-Partida, Hardy spaces of conjugate temperatures. Preprint.

  9. P. Hartman andA. Wintner, On the solutions of the equation of heat conduction. Amer. I Math.72, 367–395 (1950).

    Google Scholar 

  10. W. Hensgen, Some remarks on bondary values of vector-valued harmonic and analytic functions. Arch. Math.57, 88–96 (1991).

    Google Scholar 

  11. Y.Katznelson, An introduction to harmonic analysis. New York-London-Sydney-Toronto 1968.

  12. E. Kochneff andY. Sagher, Conjugate Temperatures. J. Approx. Theory70, 39–49 (1992).

    Google Scholar 

  13. S. Pérez-Esteva, Hardy spaces of vector-valued heat functions. Houston J. Math.19, 127–134 (1993).

    Google Scholar 

  14. D. V.Widder, The Heat Equation. New York 1975.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guzmán-Partida, M., Pérez-Esteva, S. A formulation of the analytic Radon-Nikodým property by temperature functions. Arch. Math 67, 510–518 (1996). https://doi.org/10.1007/BF01270615

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01270615

Keywords

Navigation