Extension operators for analytic functions defined on certain closed subvarieties of a Stein space

Aydin Aytuna

Bulletin de la Société Mathématique de France (1995)

  • Volume: 123, Issue: 2, page 243-255
  • ISSN: 0037-9484

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Aytuna, Aydin. "Extension operators for analytic functions defined on certain closed subvarieties of a Stein space." Bulletin de la Société Mathématique de France 123.2 (1995): 243-255. <http://eudml.org/doc/87716>.

@article{Aytuna1995,
author = {Aytuna, Aydin},
journal = {Bulletin de la Société Mathématique de France},
keywords = {extension operators from subvarieties; irreducible Stein space; closed subvariety; power series space; continuous linear extension; plurisubharmonic functions; general lifting problem},
language = {eng},
number = {2},
pages = {243-255},
publisher = {Société mathématique de France},
title = {Extension operators for analytic functions defined on certain closed subvarieties of a Stein space},
url = {http://eudml.org/doc/87716},
volume = {123},
year = {1995},
}

TY - JOUR
AU - Aytuna, Aydin
TI - Extension operators for analytic functions defined on certain closed subvarieties of a Stein space
JO - Bulletin de la Société Mathématique de France
PY - 1995
PB - Société mathématique de France
VL - 123
IS - 2
SP - 243
EP - 255
LA - eng
KW - extension operators from subvarieties; irreducible Stein space; closed subvariety; power series space; continuous linear extension; plurisubharmonic functions; general lifting problem
UR - http://eudml.org/doc/87716
ER -

References

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  3. [3] AYTUNA (A.). — Stein spaces M for which O(M) is isomorphic to a power series space, Advances in the theory of Fréchet spaces (ed. T. Terzioǧlu), Kluwer Academic Publishers, 1989, p. 115-149. Zbl0743.46017MR91m:32015
  4. [4] BEDFORD (E.) and TAYLOR (B.A.). — The Dirichlet problem for a complex Monge-Ampère equation, Invent. Math., t. 37, 1976, p. 1-44. Zbl0315.31007MR56 #3351
  5. [5] FORNAESS (J.E.) and NARASIMHAN (R.). — The Levi problem on complex spaces with singularities, Math. Ann., t. 248, 1980, p. 47-72. Zbl0411.32011MR81f:32020
  6. [6] GRAUERT (H.) and REMMERT (R.). — Coherent Analytic Sheaves. — Springer-Verlag, Berlin-Heidelberg-New York, Tokyo, 1984. Zbl0537.32001MR86a:32001
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  9. [9] LELONG (P.). — Plurisubharmonic Functions and Positive Differential Forms. — New York, Gordon and Breach, 1969. Zbl0195.11604
  10. [10] MITIAGIN (B.S.) and HENKIN (G.M.). — Linear problems of complex analysis, Russian Math. Surveys, t. 26, 1971, p. 99-164. Zbl0245.46027MR44 #4504
  11. [11] PALAMODOV (V.P.). — Homological methods in the theory of locally convex spaces, Russian Math. Surveys, t. 26,1, 1971, p. 1-64. Zbl0247.46070MR45 #2442
  12. [12] SADULLAEV (A.). — An estimate for polynomials on analytic sets, Math. USSR Izvestiya, t. 20, 1983, p. 493-502. Zbl0582.32023
  13. [13] SADULLAEV (A.). — Plurisubharmonic measures and capacities on complex manifolds, Russian Math. Surveys, t. 36,4, 1981, p. 61-119. Zbl0494.31005MR83c:32026
  14. [14] VOGT (D.). — Sequence space representations of spaces of test functions and distributions, Advances in Functional Analysis, Holomorphy and Approximation Theory (ed. G.I. Zapata). New York-Basel 1983, p. 405-443. Zbl0519.46044MR84f:46048
  15. [15] VOGT (D.). — On the functors Ext1 (E,F) for Fréchet spaces, Studia Math., t. 85, 1987, p. 163-197. Zbl0651.46001MR89a:46146
  16. [16] VOGT (D.) and WAGNER (M.J.). — Charakterisierung der Unterräume und Quotientenräume der nuklearen stabilen Potenzreihenräume von unendlichem Typ, Studia Math., t. 70, 1981, p. 65-80. Zbl0402.46008MR83e:46011
  17. [17] ZAHARIUTA (V.P.). — Spaces of analytic functions on algebraic varieties in Cn, Izv. Severo-Kavkaz. Nauchn. Tsentia Vyssh. Shkoly Ser. Estestv. Nauk, t. 4, 1977, p. 52-55. 
  18. [18] ZAHARIUTA (V.P.). — External plurisubharmonic functions, Hilbert scales, and the isomorphism of spaces of analytic functions of several variables, I, II. Theor. Funkeii Funkcional Anal. i. Prilozen. Vyp., t. 19, 1974, p. 133-157 and t. 21, 1974, p. 65-83 (Russian). 

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