Extension de formes ∂ ¯ b fermées et solutions de l’équation ∂ ¯ b u = f

Eric Amar

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1980)

  • Volume: 7, Issue: 1, page 155-179
  • ISSN: 0391-173X

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Amar, Eric. "Extension de formes $\bar{\partial }_b$ fermées et solutions de l’équation $\bar{\partial }_b u = f$." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 7.1 (1980): 155-179. <http://eudml.org/doc/83829>.

@article{Amar1980,
author = {Amar, Eric},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {tangential Cauchy-Riemann equations; Henkin-Skoda solution},
language = {fre},
number = {1},
pages = {155-179},
publisher = {Scuola normale superiore},
title = {Extension de formes $\bar\{\partial \}_b$ fermées et solutions de l’équation $\bar\{\partial \}_b u = f$},
url = {http://eudml.org/doc/83829},
volume = {7},
year = {1980},
}

TY - JOUR
AU - Amar, Eric
TI - Extension de formes $\bar{\partial }_b$ fermées et solutions de l’équation $\bar{\partial }_b u = f$
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1980
PB - Scuola normale superiore
VL - 7
IS - 1
SP - 155
EP - 179
LA - fre
KW - tangential Cauchy-Riemann equations; Henkin-Skoda solution
UR - http://eudml.org/doc/83829
ER -

References

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  1. [1] E. Amar - A. Bonami, Mesure de Carleson d'ordre α et solutions au bord de l'équation ∂, Bull. Soc. Math. France, 107 (1979), pp. 23-48. Zbl0409.46035
  2. [2] I. Bergh - J. Löfström, Interpolation spaces, Grundlehren, Springer-Verlag, 23 (1976). Zbl0344.46071
  3. [3] R. Coifman - G. Weiss, Analyse harmonique non commutative sur certains espaces homogènes, Springer-Verlag, Lecture Notes242 (1971). Zbl0224.43006MR499948
  4. [4] G. Folland - E. Stein, Estimates for the ∂b complex and analysis on the Heisenberg group, Comm. Pure Appl. Math., 27 (1974), pp. 429-522. Zbl0293.35012
  5. [5] G.M. Henkin, The Levy equation and analysis on pseudo-convex manifolds, Russian Math. Surveys, 32 (1977), pp. 59-130. Zbl0382.35038MR454067
  6. [6] L. Hörmander, Hypoelliptic second order differential equation, Acta Math., 119 (1967), pp. 147-171. Zbl0156.10701MR222474
  7. [7] Y. Meyer, Dualité H1-BMO pour les espaces de nature homogène (d'après L. Carleson), Sém. Anal. Harm. Orsay (1976). 
  8. [8] H. Skoda, Valeur au bord pour l'opérateur d'', Bull. Soc. Math. France, 104 (1976), pp. 225-299. Zbl0351.31007MR450620
  9. [9] E. Stein, Singular integrals and estimates for the Cauchy-Riemann equations, Bull. Amer. Math. Soc., 79 (1973), pp. 440-445. Zbl0257.35040MR315302
  10. [10] E. Stein, Singular integrals and differentiability properties of functions, Princeton University Press (1970). Zbl0207.13501MR290095

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