Skip to main content

Valeurs frontières des fonctions harmoniques ou holomorphes et de leurs dérivées

II. Cas de la boule

  • 451 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1039)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. BERTHIER, A.M., B. GAVEAU: Critere de convergence des fonctionnelles de Kac et applications en mecanique quantique et en geometrie, Journal of Functional Analysis 29 (1978), 416–424.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. COURANT, R., D. HILBERT: Methods of Mathematical Physics II, Interscience, New York 1965.

    Google Scholar 

  3. DEBIARD, A.: Espaces Hp au dessus de l'espace hermitien hyperbolique, Bull. Sci. Math. 2 103 (1979), 305–331.

    MathSciNet  MATH  Google Scholar 

  4. —: Integrales d'aire de Lusin-Calderon dans l'espace hermitien hyperbolique, C.R.A.S. Paris 281 (1975), 123–126 et 282 (1976), 1231–1234.

    Google Scholar 

  5. —, B. GAVEAU: Potentiel fin et algebres de fonctions III, Journal of Functional Analysis 21 (1976), 448–468.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. GARSIA, A.: Martingale inequalities, Benjamin, Reading 1973.

    MATH  Google Scholar 

  7. GAVEAU, B.: Geometrie integrale dans l'espace hermitien hyperbolique, a paraitre.

    Google Scholar 

  8. MALLIAVIN, M.P., P. MALLIAVIN: Integrales de Lusin-Calderon pour les fonctions biharmoniques, Bull. Sci. Math. 101 (1977), 357–384.

    MathSciNet  MATH  Google Scholar 

  9. —,—: Integrales de volume pour les applications pseudoconformes du bidisque, C.R.A.S. Paris 286 (1978), 617–619.

    MathSciNet  MATH  Google Scholar 

  10. MALLIAVIN, P.: Processus a temps bidimensionnel et integrale d'aire dans le bidisque, C.R.A.S. Paris 285 (1977), 221–224.

    MathSciNet  MATH  Google Scholar 

  11. GAVEAU, B.: Valeurs frontieres des harmoniques ou holomorphes et de leurs derivees I. Cas du disque et du bidisque, Bull. Sci. Math. 2 104 (1980), 233–272.

    MathSciNet  MATH  Google Scholar 

  12. —: Valeurs frontieres des fonctions harmoniques ou holomorphes et de leurs derivees. Cas de la boule, C.R.A.S. Paris 288 (1979), 403–406.

    MathSciNet  MATH  Google Scholar 

  13. PUTZ, N.: A generalized area theorem for harmonic functions on hyperbolic spaces, Trans. Am. Math. Soc. 168 (1972), 243–258.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. STEIN, E.: Singular integrals and differentiability properties of functions, Princeton Univ. Press, Princeton 1970.

    MATH  Google Scholar 

  15. —: Topics in harmonic analysis related to the Littlewood-Paley theory, Annals of Math. studies, Princeton Univ. Press, Princeton 1970.

    MATH  Google Scholar 

  16. —: Boundary behaviour of holomorphic functions of several complex variables, Princeton Univ. Press, Princeton 1972.

    Google Scholar 

  17. STROOCK, D.: A Fefferman-Stein type interpolation theorem and applications to probability and analysis, Comm. Pure Appl. Math. 26 (1973), 477–495.

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. ZYGMUND, A.: Trigonometric series II, Cambridge Univ. Press, Cambridge 1959.

    Google Scholar 

  19. DEBIARD, A., B. GAVEAU: Valeurs frontières des fonctions holomorphes d'intégrale de Dirichlet finie et capacité sous elliptique, Bull. Soc. Sci. Lettres Łódź 31, 1 (1981), 10 pp.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1983 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Gaveau, B. (1983). Valeurs frontières des fonctions harmoniques ou holomorphes et de leurs dérivées. In: Ławrynowicz, J. (eds) Analytic Functions Błażejewko 1982. Lecture Notes in Mathematics, vol 1039. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073366

Download citation

  • DOI: https://doi.org/10.1007/BFb0073366

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12712-3

  • Online ISBN: 978-3-540-38697-1

  • eBook Packages: Springer Book Archive