On dense ideals in spaces of analytic functions

Mihai Putinar

Annales de l'institut Fourier (1994)

  • Volume: 44, Issue: 5, page 1355-1366
  • ISSN: 0373-0956

Abstract

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One proves the density of an ideal of analytic functions into the closure of analytic functions in a L p ( μ ) -space, under some geometric conditions on the support of the measure μ and the zero variety of the ideal.

How to cite

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Putinar, Mihai. "On dense ideals in spaces of analytic functions." Annales de l'institut Fourier 44.5 (1994): 1355-1366. <http://eudml.org/doc/75101>.

@article{Putinar1994,
abstract = {One proves the density of an ideal of analytic functions into the closure of analytic functions in a $L^p(\mu )$-space, under some geometric conditions on the support of the measure $\mu $ and the zero variety of the ideal.},
author = {Putinar, Mihai},
journal = {Annales de l'institut Fourier},
keywords = {strictly pseudoconvex domain; Henkin measure; peak-set; Banach space of analytic functions},
language = {eng},
number = {5},
pages = {1355-1366},
publisher = {Association des Annales de l'Institut Fourier},
title = {On dense ideals in spaces of analytic functions},
url = {http://eudml.org/doc/75101},
volume = {44},
year = {1994},
}

TY - JOUR
AU - Putinar, Mihai
TI - On dense ideals in spaces of analytic functions
JO - Annales de l'institut Fourier
PY - 1994
PB - Association des Annales de l'Institut Fourier
VL - 44
IS - 5
SP - 1355
EP - 1366
AB - One proves the density of an ideal of analytic functions into the closure of analytic functions in a $L^p(\mu )$-space, under some geometric conditions on the support of the measure $\mu $ and the zero variety of the ideal.
LA - eng
KW - strictly pseudoconvex domain; Henkin measure; peak-set; Banach space of analytic functions
UR - http://eudml.org/doc/75101
ER -

References

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  2. [2] E. BIERSTONE and P.D. MILMAN, Ideals of holomorphic functions with C∞ boundary values on a pseudoconvex domain, Trans. Amer. Math. Soc., 304 (1987), 323-342. Zbl0631.32015MR89c:32042
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  9. [9] G.M. HENKIN and J. LEITERER, Theory of functions on complex manifolds, Birkhäuser, Basel-Boston-Berlin, 1984. Zbl0726.32001
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  12. [12] A. NAGEL, On algebras of holomorphic functions with C∞-boundary values, Duke Math. J., 41 (1974), 527-535. Zbl0291.32023MR50 #2560
  13. [13] M. PUTINAR and N. SALINAS, Analytic transversality and Nullstellensatz in Bergman space, Contemp. Math., 137 (1992), 367-381. Zbl0784.47010MR94f:46032
  14. [14] W. RUDIN, Function theory in the unit ball of Cn, Springer, New York-Heidelberg-Berlin, 1980. Zbl0495.32001MR82i:32002
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