Geodesic
Some Functional Inequalities on Polynomial Volume Growth Lie Groups
Canadian journal of mathematics, Tome 64 (2012) no. 3, pp. 481-496

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DOI

In this article we study some Sobolev-type inequalities on polynomial volume growth Lie groups. We show in particular that improved Sobolev inequalities can be extended to this general framework without the use of the Littlewood–Paley decomposition.
DOI : 10.4153/CJM-2011-050-4
Mots-clés : 22E30, Sobolev inequalities, polynomial volume growth Lie groups 
Chamorro, Diego. Some Functional Inequalities on Polynomial Volume Growth Lie Groups. Canadian journal of mathematics, Tome 64 (2012) no. 3, pp. 481-496. doi: 10.4153/CJM-2011-050-4
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     author = {Chamorro, Diego},
     title = {Some {Functional} {Inequalities} on {Polynomial} {Volume} {Growth} {Lie} {Groups}},
     journal = {Canadian journal of mathematics},
     pages = {481--496},
     year = {2012},
     volume = {64},
     number = {3},
     doi = {10.4153/CJM-2011-050-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-050-4/}
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