Geodesic
Direct and Reverse Gagliardo–Nirenberg Inequalities from Logarithmic Sobolev Inequalities
Matteo Bonforte 1   ; Gabriele Grillo 1
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 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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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     author = {Matteo Bonforte and Gabriele Grillo},
     title = {Direct and {Reverse} {Gagliardo{\textendash}Nirenberg} {Inequalities
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     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
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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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