Local and global plurisubharmonic defining functions.
Alan Noell
Source: Pacific J. Math. Volume 176, Number 2 (1996), 421-426.
Primary Subjects: 32F05
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102104971
Zentralblatt MATH identifier:
0865.32011
Mathematical Reviews number (MathSciNet):
MR1434999
References
[1] H.P. Boas and E. J. Straube, Sobolev estimates for the d-Neumann operator on do- mains in Cn admitting a defining function that is plurisubharmonic on the boundary, Math. Z., 206 (1991), 81-88.
Mathematical Reviews (MathSciNet):
MR92b:32027
Zentralblatt MATH:
0696.32008
[2] J.E. Fornaess, Embedding strictly pseudoconex domains in convex domains, Amer. J. Math., 98 (1976), 529-569.
Mathematical Reviews (MathSciNet):
MR54:10669
Zentralblatt MATH:
0334.32020
[3] J.E. Fornaess, Plurisubharmonic defining functions, Pacific J. Math., 80 (1979), 381-388.
Mathematical Reviews (MathSciNet):
MR80h:32035
Zentralblatt MATH:
0412.32020
[4] J.E. Fornaess and N. 0vrelid, Finitely generated ideals in A(), Ann. Inst. Fourier (Grenoble), 33 (1983), 77-85.
Mathematical Reviews (MathSciNet):
MR84h:32019
Zentralblatt MATH:
0489.32013
[5] A. Noell, Properties of peak sets in weakly pseudoconvex boundaries in C2, Math/ Z., 186 (1984), 99-116.
Mathematical Reviews (MathSciNet):
MR85c:32028
Zentralblatt MATH:
0518.32012
[6] A. Noell, Local versus global convexity of pseudoconvex domains, in Several Complex Variables and Complex Geometry, Proc. Sympos. Pure Math. 52, Amer. Math. Soc, Providence, R.I., 1991.
Mathematical Reviews (MathSciNet):
MR92j:32054
Zentralblatt MATH:
0739.32020
[7] A. Noell and B. Stens0nes, Proper holomorphic maps from weakly pseudoconvex domains, Duke Math. J., 60 (1990), 363-388.
Mathematical Reviews (MathSciNet):
MR91d:32036
Zentralblatt MATH:
0716.32017
Pacific Journal of Mathematics
