Abstract
On prouve une version de l’inégalité de Hardy pour les groupes.
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References
Alexopoulos G. (2002). Sub-laplacians with drift on Lie groups of polynomial volume growth. Memoirs Am. Math. Soc. 155: 739
Campogna L., Danielli D. and Carafalo N. (1997). Subelliptic molliers and a basic pointwise estimate of Poincaré type. Math. Z. 226: 147–154
Diambrosio L. (2005). Hardy type inequalities related to degenerate ellipric differential operators. Ann. Sc. Norm. Sup. Pisa Cl. Sci. 4(5): 451–486
Franchi B., Lu G. and Wheeden R. (1955). Representation formula. Ann. Inst. Fourier 42(2): 577–604
Han Y. and Niu P.G. (2005). Hardy–Sobolev type inequalities on H-type groups, spaces. Manuscripta Math. 118(2): 235–252
Hunt R.A. (1966). L pq spaces. Enseignement Math. 12(2): 249–276
Lohoué N. (1988). Transformations de Riesz sur les groupes non-moyenables. C.R.A.S.I 306(7): 327–330
Lohoué N. and Varopoulos N. (1985). Remarqes sur les transformées de Riesz sur les groupes de Lie nilpotents. C.R.A.S.I 301(11): 559–560
Niu P., Zang H. and Wang H.Q. (2001). Hardy type and Rellich type inequalities on the Heisenberg groups. Proc. Am. Math. Soc. 129: 3623–3630
Varopoulos, N., Saloff-Coste, L., Coulhon, T.H.: Analysis and geometry on groups. Cambridge Tracts Math. vol. 100, Cambridge (1993)
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Lohoué, N. Une variante de l’inegalite de Hardy. manuscripta math. 123, 73–78 (2007). https://doi.org/10.1007/s00229-007-0084-4
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DOI: https://doi.org/10.1007/s00229-007-0084-4