Geodesic
Direct and Reverse Gagliardo–Nirenberg Inequalities from Logarithmic Sobolev Inequalities
Matteo Bonforte1 ; Gabriele Grillo1
1 Dipartimento di Matematica Politecnico di Torino corso Duca degli Abruzzi 24 10129 Torino, Italy
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) no. 3, pp. 323-336

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We investigate the connection between certain logarithmic Sobolev inequalities and generalizations of Gagliardo–Nirenberg inequalities. A similar connection holds between reverse logarithmic Sobolev inequalities and a new class of reverse Gagliardo–Nirenberg inequalities.
DOI : 10.4064/ba53-3-10
Keywords: investigate connection between certain logarithmic sobolev inequalities generalizations gagliardo nirenberg inequalities similar connection holds between reverse logarithmic sobolev inequalities class reverse gagliardo nirenberg inequalities

Matteo Bonforte 1 ; Gabriele Grillo 1

1 Dipartimento di Matematica Politecnico di Torino corso Duca degli Abruzzi 24 10129 Torino, Italy 
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 from Logarithmic Sobolev Inequalities
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Matteo Bonforte; Gabriele Grillo. Direct and Reverse Gagliardo–Nirenberg Inequalities
 from Logarithmic Sobolev Inequalities. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) no. 3, pp. 323-336. doi: 10.4064/ba53-3-10

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