Valeurs au bord de fonctions holomorphes bornées en plusieurs variables complexes

Monique Hakim

Séminaire Bourbaki (1982-1983)

  • Volume: 25, page 293-305
  • ISSN: 0303-1179

How to cite

top

Hakim, Monique. "Valeurs au bord de fonctions holomorphes bornées en plusieurs variables complexes." Séminaire Bourbaki 25 (1982-1983): 293-305. <http://eudml.org/doc/110014>.

@article{Hakim1982-1983,
author = {Hakim, Monique},
journal = {Séminaire Bourbaki},
keywords = {existence of inner functions; bounded holomorphic functions; unit ball},
language = {fre},
pages = {293-305},
publisher = {Société Mathématique de France},
title = {Valeurs au bord de fonctions holomorphes bornées en plusieurs variables complexes},
url = {http://eudml.org/doc/110014},
volume = {25},
year = {1982-1983},
}

TY - JOUR
AU - Hakim, Monique
TI - Valeurs au bord de fonctions holomorphes bornées en plusieurs variables complexes
JO - Séminaire Bourbaki
PY - 1982-1983
PB - Société Mathématique de France
VL - 25
SP - 293
EP - 305
LA - fre
KW - existence of inner functions; bounded holomorphic functions; unit ball
UR - http://eudml.org/doc/110014
ER -

References

top
  1. [1] A.B. Aleksandrov - Existence of inner functions in the ball, Matem. Sbornik, (June 1982), 147-163 (en russe). Zbl0503.32001MR658785
  2. [2] A.B. Aleksandrov - Cité par E. Løw dans [12]. 
  3. [3] M.S. Baouendi and F. Trèves - A property of the functions and distributions annihilated by a locally integrable system of complex vector fields, Ann. Math.113(1981), 341-421. Zbl0491.35036MR607899
  4. [4] A. Beurling - On two problems concerning linear transformations in Hilbert space, Acta Math.81(1949), 239-255. Zbl0033.37701MR27954
  5. [5] Th. Duchamp and E.L. Stout - Maximum modulus sets, Ann. Inst. Fourier, Grenoble, 31-3(1981), 37-69. Zbl0439.32007MR638616
  6. [6] M. Hakim et N. Sibony - Fonctions holomorphes bornées dans la boule unité de Cn , Invent. Math.67(1982), 213-222. Zbl0475.32007MR665153
  7. [7] M. Hakim et N. Sibony - Zéros des fonctions holomorphes bornées dans la boule unité de Cn , Math. Ann.260(1982), 469-474. Zbl0499.32006MR670195
  8. [8] M. Hakim et N. Sibony - Fonctions holomorphes bornées et limites tangentielles, Duke Math. Journal50 n°1(1983), 133-141. Zbl0514.32003MR700133
  9. [9] M. Hakim et N. Sibony - Valeurs au bord des modules de fonctions holomorphes, Math. Ann. (1983), à paraître. Zbl0514.32008MR711878
  10. [10] L. Hörmander - An introduction to complex analysis in several variables, North-Holland. Zbl0685.32001MR1045639
  11. [11] E. Løw - A construction of inner functions on the unit ball in Cp , Invent. Math.67(1982), 223-229. Zbl0528.32006MR665154
  12. [12] E. Løw - Inner functions and boundary values in H∞(Ω) and A(Q) in smoothly bounded pseudoconvex domain, (Ph. D. Princeton University, June 1983). 
  13. [13] W. Rudin - Function theory in the unit ball of Cn , Springer-Verlag, New York, 1974. Zbl0495.32001
  14. [14] W. Rudin - Inner functions in the unit ball of Cn , Journal of funct. anal.50 n°1(1983), 100-126. Zbl0554.32002MR690001
  15. [15] N. Sibony - Valeurs au bord de fonctions holomorphes et ensembles polynômialement convexes, dans le Séminaire Pierre Lelong1975-76, Lect. Notes in Math. vol. 578, Springer-Verlag (1977). Zbl0382.32004MR499304
  16. [16] N. Sibony - Communication privée. 
  17. [17] B. Stensønes Henriksen - A peak set of Hausdorff dimension 2n - 1 for the algebra A(D) in the boundary of a domain D with C∞-boundary in Cn , Math. Ann.259(1982), 271-277. Zbl0483.32011
  18. [18] A.E. Tumanov - A peak set for the disc algebra of metric dimension 2,5 in the three-dimensional unit sphere, Math. USSR Izv.11(1977), 370-377. Zbl0379.46048MR486633

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.