ON Q-COMPLETE DOMAINS WITH SMOOTH BOUNDAR Y

Authors
VAJAITU V
Citation
V. Vajaitu, ON Q-COMPLETE DOMAINS WITH SMOOTH BOUNDAR Y, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 321(8), 1995, pp. 981-985
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
321
Issue
8
Year of publication
1995
Pages
981 - 985
Database
ISI
SICI code
0764-4442(1995)321:8<981:OQDWSB>2.0.ZU;2-E
Abstract
We consider bounded and q-complete domains in C-n with C-2 boundary. W e show that they enjoy special q-convexity properties, ie., they admit q-convex bounded exhaustion function and their closure do have a fund amental system of (q + 1)-complete neighborhoods. Moreover we produce an example of a q-complele domain with smooth boundary whose closure d oes not possess a fundamental system of q-complete neighborhoods.