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Uniform subelliptic estimates on scaled convex domains of finite type
Author(s):
Jeffery
D.
McNeal
Journal:
Proc. Amer. Math. Soc.
130
(2002),
39-47.
MSC (1991):
Primary 32W05
Posted:
August 7, 2001
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Abstract:
We show that a uniform subelliptic estimate for the -Neumann problem holds on a certain family of convex domains of finite type.
References:
-
- [B-C-D]
- J. Bruna, P. Charpentier & Y. Dupain, Zero varieties for the Nevanlinna class in convex domains of finite type in
, Ann. of Math 147 (1998), 391-415. MR 99e:32023 - [B-N-W]
- J. Bruna, A. Nagel & S. Wainger, Convex hypersurfaces and Fourier transforms, Ann. of Math. 127 (1988), 333-365. MR 89d:42023
- [Cat]
- D. Catlin, Subelliptic estimates for the
-Neumann problem on pseudoconvex domains, Ann. of Math. 126 (1986), 131-191. MR 88i:32025 - [Cum1]
- A. Cumenge, Sharp estimates for
on convex domains of finite type, Ark. Mat. 39 (2001), 1-25. - [Cum2]
- -, Zero sets of functions in the Nevanlinna class in convex domains of finite type (preprint).
- [DiFo]
- K. Diederich & J.E. Fornæss, Support functions for convex domains of finite type, Math. Zeit. 230 (1999), 145-164. MR 2000b:32024
- [FoSi]
- J.E. Fornæss & N. Sibony, Construction of P.S.H. functions on weakly pseudoconvex domains, Duke Math. J. 58 (1989), 633-655. MR 90m:32034
- [KrLi]
- S.G. Krantz & S.-Y. Li, Duality theorems for Hardy and Bergman spaces on convex domains of finite type, Ann. Inst. Fourier 45 (1995), 1305-1327. MR 96m:32002
- [Mc1]
- J. McNeal, Estimates on the Bergman kernels of convex domains, Adv. Math. 109 (1994), 108-139. MR 95k:32023
- [Mc2]
- -, Convex domains of finite type, J. Funct. Anal. 108 (1992), 361-373. MR 93h:32020
- [McSt]
- J. McNeal & E.M. Stein, The Szegö projection on convex domains, Math. Zeit. 224 (1997), 519-553. MR 98f:32023
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Additional Information:
Jeffery
D.
McNeal
Affiliation:
Department of Mathematics, Ohio State University, Columbus, Ohio, 43210
Email:
mcneal@math.ohio-state.edu
DOI:
10.1090/S0002-9939-01-06373-0
PII:
S 0002-9939(01)06373-0
Received by editor(s):
February 3, 2000
Posted:
August 7, 2001
Additional Notes:
This research was supported by an Alfred P. Sloan fellowship and by a grant from the National Science Foundation
Communicated by:
Steven R. Bell
Copyright of article:
Copyright
2001,
American Mathematical Society
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