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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
@article{10_4153_CJM_2011_050_4,
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/}
}
TY - JOUR AU - Chamorro, Diego TI - Some Functional Inequalities on Polynomial Volume Growth Lie Groups JO - Canadian journal of mathematics PY - 2012 SP - 481 EP - 496 VL - 64 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-050-4/ DO - 10.4153/CJM-2011-050-4 ID - 10_4153_CJM_2011_050_4 ER -
[1] [1] Badr, N., Gagliardo-Nirenberg inequalities on manifolds. J. Math. Anal. Appl. 349(2009), no. 2, 493–502. Google Scholar | DOI
[2] [2] Bahouri, H., Gérard, P., and Xu, C-J, Espaces de Besov et estimations de Strichartz généralisées sur le groupe de Heisenberg. J. Anal. Math. 82(2000), 93–118. Google Scholar | DOI
[3] [3] Chamorro, D., Improved Sobolev inequalities and Muckenhoupt weights on stratified Lie groups. J. Math. Anal. Appl. 377(2011), no. 2, 695–709. Google Scholar | DOI
[4] [4] Cohen, A., Dahmen, W., Daubechies, I. and De Vore, R., Harmonic analysis of the space BV. Rev. Mat. Iberoamericana 19(2003), no. 1, 235–263. Google Scholar
[5] [5] Cowling, M., Gaudry, G., Giulini, S., and Mauceri, G., Weak type (1, 1) estimates for heat kernel maximal funtions on Lie groups. Trans. Amer. Math. Soc. 323(1991), no. 2, 637–649. Google Scholar | DOI
[6] [6] Folland, G., Subelliptic estimates and function spaces on nilpotent Lie groups. Ark. Mat. 13(1975), no. 2, 161–208. Google Scholar | DOI
[7] [7] Folland, G. and Stein, E. M., Hardy Spaces on Homogeneous Groups. Mathematical Notes 28. Princeton University Press, Princeton, NJ, 1982. Google Scholar
[8] [8] Furioli, G., Melzi, C., and Veneruso, A., Littlewood-Paley decomposition and Besov spaces on Lie groups of polynomial growth. Math. Nachr. 279(2006), no. 9-10, 1028–1040. Google Scholar | DOI
[9] [9] Gérard, P., Meyer, Y., and Oru, F., Inégalités de Sobolev Précisées. In: Séminaire sur les Équations aux Dérivées Partielles, 1996-1997. École Polytech., Palaiseau, 1997. Google Scholar
[10] [10] Hulanicki, A., A functional calculus for Rockland operators on nilpotent Lie groups. Studia Math. 78 (1984), no. 3, 253–266. Google Scholar
[11] [11] Ledoux, M., On improved Sobolev embedding theorems. Math. Res. Lett. 10(2003), no. 5-6, 659–669. Google Scholar
[12] [12] Saka, K., Besov Spaces and Sobolev spaces on a nilpotent Lie group. Tôhoku. Math. J. 31(1979), no. 4, 383–437. Google Scholar | DOI
[13] [13] Stein, E. M., Topics in Harmonic Analysis. Annals of Mathematics Studies 63. Princeton University Press, Princeton, NJ, 1970. Google Scholar
[14] [14] Stein, E. M., Harmonic Analysis. Princeton Mathematical Series 43. Princeton University Press, Princeton, NJ, 1993. Google Scholar
[15] [15] Varopoulos, N. T., Saloff-Coste, L., and Coulhon, T., Analysis and Geometry on Groups. Cambridge Tracts in Mathematics 100. Cambridge University Press, Cambridge, 1992. Google Scholar
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