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Distributions supported in a hypersurface and local
Author(s):
Galia
Dafni
Journal:
Proc. Amer. Math. Soc.
126
(1998),
2933-2943.
MSC (1991):
Primary 42B30, 46F05
MathSciNet review:
1459116
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Abstract:
We give a necessary condition for a distribution with compact support in a hypersurface to be in the local Hardy space . We apply this condition to prove a result distinguishing two types of Hardy spaces of distributions on a smooth domain .
References:
- [CDS]
- D.C. Chang, G. Dafni, and E. M. Stein, Hardy spaces, BMO, and boundary value problems for the Laplacian on a smooth domain in
, Trans. Amer. Math. Soc., to appear. CMP 97:15 - [CKS]
- D.C. Chang, S. G. Krantz, and E. M. Stein,
Theory on a smooth domain in and elliptic boundary value problems, J. Funct. Anal. 114, No. 2 (1993), 286-347. MR 94j:46032 - [G]
- D. Goldberg, A local version of real Hardy spaces, Duke Math. J. 46 (1979), 27-42. MR 80h:46052
- [H]
- L. Hörmander, The Analysis of Linear Partial Differential Operators I, Springer-Verlag, Berlin 1983. MR 85g:35002a
- [JSW]
- A. Jonsson, P. Sjögren, and H. Wallin, Hardy and Lipschitz spaces on subsets of
, Studia Math. 80, No. 2 (1984), 141-166. MR 87b:46022 - [M]
- A. Miyachi,
spaces over open subsets of , Studia Math. 95, No. 3 (1990), 205-228. MR 91m:42022 - [S]
- E. M. Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton Univ. Press, Princeton, New Jersey, 1993. MR 95c:42002
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Additional Information:
Galia
Dafni
Affiliation:
Department of Mathematics, Northwestern University, Evanston, Illinois 60208-2730
Email:
dafni@math.nwu.edu
DOI:
10.1090/S0002-9939-98-04437-2
PII:
S 0002-9939(98)04437-2
Keywords:
$h^p$ spaces,
distributions
Received by editor(s):
February 28, 1997
Communicated by:
Christopher D. Sogge
Copyright of article:
Copyright
1998,
American Mathematical Society
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