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General Gagliardo Inequality and Applications to Weighted Sobolev Spaces

Antonio AvantaggiatiPaola Loreti — 2009

Bollettino dell'Unione Matematica Italiana

In this paper we obtain a more general inequality with respect to a well known inequality due to Gagliardo (see [4], [5]). The inequality contained in [4], [5] has been extended to weighted spaces, obtained as cartesian product of measurable spaces. As application, we obtain a first order weighted Sobolev inequality. This generalize a previous result obtained in [2].

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