Property (P) and Stein neighborhood bases on C1 domains
Harrington, Phillip S.
Illinois J. Math., Tome 52 (2008) no. 1, p. 145-151 / Harvested from Project Euclid
Let Ω be a bounded domain in ℂn satisfying Catlin’s Property (P). Sibony has shown that $\overline{\Omega}$ possesses a Stein neighborhood basis when the boundary is of class C3. In this paper, we use an alternative characterization of such domains to show that Sibony’s result holds when the boundary is of class C1.
Publié le : 2008-05-15
Classification:  32T35,  32W05
@article{1242414125,
     author = {Harrington, Phillip S.},
     title = {Property (P) and Stein neighborhood bases on C<sup>1</sup> domains},
     journal = {Illinois J. Math.},
     volume = {52},
     number = {1},
     year = {2008},
     pages = { 145-151},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1242414125}
}
Harrington, Phillip S. Property (P) and Stein neighborhood bases on C1 domains. Illinois J. Math., Tome 52 (2008) no. 1, pp.  145-151. http://gdmltest.u-ga.fr/item/1242414125/