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Distributions supported in a hypersurface and local

Authors:	Galia Dafni

Affiliation:	Department of Mathematics, Northwestern University, Evanston, Illinois 60208-2730

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 $Omega subset {mathbf{R}^n}$ .

Keywords:	$h^p$ spaces distributions

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