Constructions de fonctions holomorphes bornées

N. Sibony

Séminaire Équations aux dérivées partielles (Polytechnique) (1982-1983)

  • page 1-5

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Sibony, N.. "Constructions de fonctions holomorphes bornées." Séminaire Équations aux dérivées partielles (Polytechnique) (1982-1983): 1-5. <http://eudml.org/doc/111832>.

@article{Sibony1982-1983,
author = {Sibony, N.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {approximation by plurisubharmonic function; real analytic function; approximation by bounded holomorphic function; tangential Cauchy-Riemann equation},
language = {fre},
pages = {1-5},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Constructions de fonctions holomorphes bornées},
url = {http://eudml.org/doc/111832},
year = {1982-1983},
}

TY - JOUR
AU - Sibony, N.
TI - Constructions de fonctions holomorphes bornées
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1982-1983
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 5
LA - fre
KW - approximation by plurisubharmonic function; real analytic function; approximation by bounded holomorphic function; tangential Cauchy-Riemann equation
UR - http://eudml.org/doc/111832
ER -

References

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  1. [1] Aleksandrov, A.B.Existence des fonctions internes dans la boule. Mat. Sornik (1982), 147-163 (en russe). Zbl0503.32001
  2. [2] Hakim, M. et Sibony, N.Fonctions holomorphes bornées sur la boule unité de Cp. Invent. Math.67 (1982), 213-222. Zbl0475.32007MR665153
  3. [3] Hakim, M. et Sibony, N.Valeurs au bord des modules de fonctions holomorphes. Math. Ann. (à paraître). Zbl0514.32008MR711878
  4. [4] Hakim, M. et Sibony, N.Fonctions holomorphes bornées et limites tangentielles. Duke Math. Journal50 (1983), 133-141. Zbl0514.32003MR700133
  5. [5] Harvey, R. et Polking, J.Removable singularities of solutions of linear partial differential equations. Acta Math.125 (1970), 39-56. Zbl0214.10001MR279461
  6. [6] Löw, E.A construction of inner functions on the unit ball in Cp. Invent. Math.67 (1982), 223-229. Zbl0528.32006MR665154
  7. [7] Löw, E.Inner functions and boundary values in H∞ (Ω) and A(Ω) in smoothly bounded pseudo-convex domains. Ph. D., Princeton Univ., June 1983. Zbl0526.32017

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