Geodesic
General Gagliardo Inequality and Applications to Weighted Sobolev Spaces
Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 3, pp. 623-633

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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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     title = {General {Gagliardo} {Inequality} and {Applications} to {Weighted} {Sobolev} {Spaces}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {623--633},
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     volume = {Ser. 9, 2},
     number = {3},
     year = {2009},
     zbl = {1191.46026},
     mrnumber = {2569295},
     language = {en},
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Avantaggiati, Antonio; Loreti, Paola. General Gagliardo Inequality and Applications to Weighted Sobolev Spaces. Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 3, pp. 623-633. http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_3_a6/