Reinhardt domains and the Gleason problem

Oscar Lemmers; Jan Wiegerinck

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2001)

  • Volume: 30, Issue: 2, page 405-414
  • ISSN: 0391-173X

How to cite

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Lemmers, Oscar, and Wiegerinck, Jan. "Reinhardt domains and the Gleason problem." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 30.2 (2001): 405-414. <http://eudml.org/doc/84446>.

@article{Lemmers2001,
author = {Lemmers, Oscar, Wiegerinck, Jan},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Gleason property; maximal ideal; Reinhardt domain},
language = {eng},
number = {2},
pages = {405-414},
publisher = {Scuola normale superiore},
title = {Reinhardt domains and the Gleason problem},
url = {http://eudml.org/doc/84446},
volume = {30},
year = {2001},
}

TY - JOUR
AU - Lemmers, Oscar
AU - Wiegerinck, Jan
TI - Reinhardt domains and the Gleason problem
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 2001
PB - Scuola normale superiore
VL - 30
IS - 2
SP - 405
EP - 414
LA - eng
KW - Gleason property; maximal ideal; Reinhardt domain
UR - http://eudml.org/doc/84446
ER -

References

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  1. [1] U. Backlund - A. Fällström, On Gleason's problem for H∞, Research Report no. 6 (1992), Department of Mathematics, University of Umeå, Sweden. 
  2. [2] U. Backlund - A. Fällström, The Gleason problem for A(Ω), New Zealand J. Math.24 (1995), 17-22. Zbl0847.32014
  3. [3] U. Backlund - A. Fällström, Counterexamples to the Gleason problem, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 26 (1998), 595-603. Zbl0933.32002MR1635710
  4. [4] U. Backlund - A. Fällström, The Gleason property for Reinhardt Domains, Math. Ann.308 (1997), 85-91. Zbl0869.32001MR1446201
  5. [5] F. BeatrousJr., Hölder estimates for the ∂-equation with a support condition, Pacific J. Math.90 (1980), 249-257. Zbl0453.32006
  6. [6] J.E. Fornæss - N. Øvrelid, Finitely generated ideals in A(Ω), Ann. Inst. Fourier(Grenoble) 33 (1983), 77-85. Zbl0489.32013
  7. [7] A.M. Gleason, Finitely generated ideals in Banach algebras, J. Math. Mech.13 (1964), 125-132. Zbl0117.34105MR159241
  8. [8] M. Grangé, Diviseurs de Leibenson et problème de Gleason pour H∞(Ω) dans le cas convexe, Bull. Soc. Math. France114 (1986), 224-245. Zbl0603.32012
  9. [9] A. Griewank - P.J. Rabier, On the smoothness of convex envelopes, Trans. Amer. Math. Soc.322 (1990), 691-709. Zbl0712.49010MR986024
  10. [10] G.M. Khenkin, Approksimatsiya funktsij ν psevdovypuklych oblastyach i teorema Z. L. Leibenzona, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys.19 (1971), 37-42. (Russian). 
  11. [11] S.G. Krantz, "Function Theory of Several Complex Variables", John Wiley, New York, 1982. Zbl0471.32008MR635928
  12. [12] A. Noell, The Gleason problem for domains of finite type, Complex Variables Theory Appl. 4 (1985), 233-241. Zbl0535.32009MR801640
  13. [13] N. Øvrelid, Integral representation formulas and L P estimates for the ∂-equation, Math. Scand.29 (1971), 137-160. Zbl0227.35069
  14. [14] N Øvrelid, Generators of the maximal ideals of A(D), Pacific J. Math.39 (1971), 219-223. Zbl0231.46090MR310292

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