Distributions supported in a hypersurface and local $h^p$
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- Proc. Amer. Math. Soc. 126 (1998), 2933-2943 Request permission
Abstract:
We give a necessary condition for a distribution with compact support in a hypersurface to be in the local Hardy space $h^p(\mathbf {R}^n)$. We apply this condition to prove a result distinguishing two types of Hardy spaces of distributions on a smooth domain $\Omega \subset \mathbf {R}^n$.References
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Additional Information
- Galia Dafni
- Affiliation: Department of Mathematics, Northwestern University, Evanston, Illinois 60208-2730
- MR Author ID: 255789
- ORCID: 0000-0002-5078-7724
- Email: dafni@math.nwu.edu
- Received by editor(s): February 28, 1997
- Communicated by: Christopher D. Sogge
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 2933-2943
- MSC (1991): Primary 42B30, 46F05
- DOI: https://doi.org/10.1090/S0002-9939-98-04437-2
- MathSciNet review: 1459116