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arxiv: 1007.2005 · v1 · submitted 2010-07-12 · 🧮 math.AP

The Hardy and Caffarelli-Kohn-Nirenberg Inequalities Revisited

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keywords inequalitycaffarelli-kohn-nirenberghardyinequalitiesrevisitedanotherapplyingcase
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In this paper some important inequalities are revisited. First, as motivation, we give another proof of the Hardy's inequality applying convenient vector fields as introduced by Mitidieri, see [6]. Then, we investigate a particular case of the Caffarelli-Kohn-Nirenberg's inequality. Finally, we study the Rellic's inequality.

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