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Some properties of Sobolev spaces

Article type: Research Article

Authors: Borghol, Rouba

Affiliations: Department of Mathematics, University of Tours, France E-mail: rouba.borghol@lmpt.univ-tours.fr

Abstract: The aim of this paper is to present some new characterizations of the Sobolev spaces Wk,p(Ω) where 1<p<∞, k≥2 and Ω is a bounded smooth domain of $\mathbb{R}$N. For p=1, we prove same results by replacing Wk,1(Ω) by the BVk(Ω) space. As an application we show how to recognize polynomial functions among locally integrable functions.

Journal: Asymptotic Analysis, vol. 51, no. 3-4, pp. 303-318, 2007

Published: 2007
Price: EUR 27.50
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