Interpolation by holomorphic functions in the unit ball with polynomial growth

Xavier Massaneda

Annales de la Faculté des sciences de Toulouse : Mathématiques (1997)

  • Volume: 6, Issue: 2, page 277-296
  • ISSN: 0240-2963

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Massaneda, Xavier. "Interpolation by holomorphic functions in the unit ball with polynomial growth." Annales de la Faculté des sciences de Toulouse : Mathématiques 6.2 (1997): 277-296. <http://eudml.org/doc/73421>.

@article{Massaneda1997,
author = {Massaneda, Xavier},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {extension; interpolation; holomorphic functions},
language = {eng},
number = {2},
pages = {277-296},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Interpolation by holomorphic functions in the unit ball with polynomial growth},
url = {http://eudml.org/doc/73421},
volume = {6},
year = {1997},
}

TY - JOUR
AU - Massaneda, Xavier
TI - Interpolation by holomorphic functions in the unit ball with polynomial growth
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1997
PB - UNIVERSITE PAUL SABATIER
VL - 6
IS - 2
SP - 277
EP - 296
LA - eng
KW - extension; interpolation; holomorphic functions
UR - http://eudml.org/doc/73421
ER -

References

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  1. [1] Amar ( E.).— Suites d'interpolation pour les classes de Bergman de la boule et du polydisque de ℂn, Can. J. Math.XXX, n° 4 (1978), pp. 711-737. Zbl0385.32014MR499309
  2. [2] Amar ( E.).— Extension de fonctions holomorphes et courants, Bull. Sci. Math.107 (1983), pp. 25-48. Zbl0543.32007MR699989
  3. [3] Berndtsson ( B.).— A formula for interpolation and division in ℂn, Math. Ann.263 (1983), pp. 399-418. Zbl0499.32013MR707239
  4. [4] Berndtsson ( B.).— Interpolating sequences for H∞ in the ball, Proc. Kon. Ned. Akad. van Wetensch. A-88 (1985), pp. 1-10. Zbl0588.32006MR783001
  5. [5] Berndtsson ( B.) and Andersson ( A.) . — Henkin Ramirez formulas with weight factors, Ann. de l'Institut Fourier32, n° 3 (1982), pp. 91-110. Zbl0466.32001MR688022
  6. [6] Bruna ( J.) and Pascuas ( D.).— Interpolation in A-∞, J. London Math. Soc.40 (1989), pp. 452-466. Zbl0652.30026MR1053614
  7. [7] Bruna ( J.) and Massaneda ( X.).— Zero sets of holomorphic functions in the unit ball with slow growth, J. Anal. Math.66 (1995), pp. 217-252. Zbl0858.32009MR1370351
  8. [8] Dautov ( S.A.) and Henkin ( G.).— Zeros of holomorphic functions of finite area and weighted estimates for solutions of the ∂-equation, Math. USSR Sb.135 (1979), pp. 449-459. Zbl0421.32001
  9. [9] Henkin ( G.) . — Continuation of bounded analytic functions from submanifolds in general position to strictly pseudoconvex domains, Maths. USSR. Izv.6 (1972), pp. 536-563. Zbl0255.32008MR308444
  10. [10] Koremblum ( B.).— An extension of the Nevanlinna theory, Acta Math.135 (1975), pp. 187-219. Zbl0323.30030
  11. [11] Massaneda ( X.).— A-p-interpolation in the unit ball, J. London Math. Soc.52 (1995), pp. 391-401. Zbl0847.32006MR1356150
  12. [12] Pascuas ( D.).— Zeros i interpolació en espais de funcions holomorfes del disc unitat, Tesi doctoral, Universitat Autònoma de Barcelona (1988). 
  13. [13] Rudin ( W.).— Function theory in the unit ball of ℂn, Springer Verlag, Berlin (1980). Zbl0495.32001MR601594
  14. [14] Seip ( K.).— Beurling type density theorems in the unit disk, Invent. Math.113 (1993), pp. 21-39. Zbl0789.30025MR1223222
  15. [15] Thomas ( P.).— Hardy space interpolation in the unit ball, Proc. Kon. Ned. Akad. van Wetensch. A-90 (1987), pp. 325-351. Zbl0628.32009MR914091

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