Finitely generated ideals in $A\left(\omega \right)$

@article{Fornaess1983,
abstract = {The Gleason problem is solved on real analytic pseudoconvex domains in $\{\bf C\}^2$. In this case the weakly pseudoconvex points can be a two-dimensional subset of the boundary. To reduce the Gleason problem to a $\bar\{\partial \}$ question it is shown that the set of Kohn-Nirenberg points is at most one-dimensional. In fact, except for a one-dimensional subset, the weakly pseudoconvex boundary points are $R$-points as studied by Range and therefore allow local sup-norm estimates for $\bar\{\partial \}$.},
author = {Fornaess, John Erik, Ovrelid, M.},
journal = {Annales de l'institut Fourier},
keywords = {Gleason problem; real analytic pseudoconvex domains; delta problem; weakly pseudoconvex boundary points; stratification},
language = {eng},
number = {2},
pages = {77-85},
publisher = {Association des Annales de l'Institut Fourier},
title = {Finitely generated ideals in $A(\omega )$},
url = {http://eudml.org/doc/74590},
volume = {33},
year = {1983},
}

TY - JOUR
AU - Fornaess, John Erik
AU - Ovrelid, M.
TI - Finitely generated ideals in $A(\omega )$
JO - Annales de l'institut Fourier
PY - 1983
PB - Association des Annales de l'Institut Fourier
VL - 33
IS - 2
SP - 77
EP - 85
AB - The Gleason problem is solved on real analytic pseudoconvex domains in ${\bf C}^2$. In this case the weakly pseudoconvex points can be a two-dimensional subset of the boundary. To reduce the Gleason problem to a $\bar{\partial }$ question it is shown that the set of Kohn-Nirenberg points is at most one-dimensional. In fact, except for a one-dimensional subset, the weakly pseudoconvex boundary points are $R$-points as studied by Range and therefore allow local sup-norm estimates for $\bar{\partial }$.
LA - eng
KW - Gleason problem; real analytic pseudoconvex domains; delta problem; weakly pseudoconvex boundary points; stratification
UR - http://eudml.org/doc/74590
ER -