Skip to main content
Log in

Pointwise estimates for some kernels on compact Lie groups

  • Published:
Rendiconti del Circolo Matematico di Palermo Aims and scope Submit manuscript

Abstract

Si ottengono delle stime per il nucleo di Gauss-Weierstrass su gruppi di Lie compatti e se ne indicano alcune applicazioni.

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. Clere J. L.,Sommes de Riesz et multiplicateurs sur un groupe de Lie compact, Ann. Inst. Fourier Grenoble,24 (1974), 149–172.

    MathSciNet  Google Scholar 

  2. Coifman R. R., Weiss G.,Invariant systems of conjugate harmonic functions associated with compact Lie groups, Studia Math.,44 (1972), 301–308.

    MATH  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  5. Gilkey P. B.,The Index Theorem and the Heat Equation, Publish or Perish, Boston, 1974.

    MATH  Google Scholar 

  6. Latter R.,A characterisation of H p (Rn) in terms of atoms, Studia Math.,62 (1978), 93–101.

    MATH  MathSciNet  Google Scholar 

  7. Stein E. M.,Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton, 1970.

    MATH  Google Scholar 

  8. Stein E. M.,Topics in Harmonic Analysis Related to the Littlewood-Paley Theory, Ann. of Math. Studies,63, 1970.

  9. Stein E. M., Weiss G.,Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, Princeton, 1971.

    MATH  Google Scholar 

  10. Varadarajan V. S.,Lie Groups, Lie Algebras, and their Representations, Prentice-Hall, London, 1974.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cowling, M., Mantero, A.M. & Ricci, F. Pointwise estimates for some kernels on compact Lie groups. Rend. Circ. Mat. Palermo 31, 145–158 (1982). https://doi.org/10.1007/BF02844350

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02844350

Keywords

Navigation