Direct and Reverse Gagliardo-Nirenberg Inequalities from Logarithmic Sobolev Inequalities
Matteo Bonforte ; Gabriele Grillo
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005), p. 323-336 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:281061 
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     author = {Matteo Bonforte and Gabriele Grillo},
     title = {Direct and Reverse Gagliardo-Nirenberg Inequalities from Logarithmic Sobolev Inequalities},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {53},
     year = {2005},
     pages = {323-336},
     zbl = {1156.26005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-3-10}
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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) pp. 323-336. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-3-10/