Some new characterizations of Sobolev spaces |
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Authors: | Hoai-Minh Nguyen |
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Affiliation: | Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, 4 Place Jussieu, 75252 Paris cedex 05, France |
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Abstract: | In this paper, we present some new characterizations of Sobolev spaces. Here is a typical result. Let g∈Lp(RN), 1<p<+∞; we prove that g∈W1,p(RN) if and only if |
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Keywords: | Sobolev spaces |
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