[1] Abdellaoui B, Colorado D, Peral I. Some improved Caffarelli-Kohn-Nirenberg inequalities. Calc Var Partial Differential Equations, 2005, 23: 327-345
[2] Barbatis G, Filippas S, Tertikas A. A unified approach to improved L^p Hardy inequalities with best constants. Trans Amer Math Soc, 2004, 356: 2169-2196
[3] Brezis H, Vázquez J. Blow-up solutions of some nonlinear elliptic problems. Rev Mat Univ Comp Madrid, 1997, {\bf10}: 443-469
[4] Filippas S, Moschini L, Tertikas A. Sharp two-sided heat kernel estimates for critical Schrodinger operators on bounded domains. Comm Math Phys, 2007, 273: 237-281
[5] Filippas S, Tertikas A. Optimizing improved Hardy inequalities. J Funct Anal, 2002, 192: 186-233
[6] Gazzola F, Grunau H, Mitidieri E. Hardy inequalities with optimal constants and remainder terms. Trans Amer Math Soc, 2004, 356: 2149-2168
[7] Gkikas K T. Hardy-Sobolev inequalities in unbounded domains and heat kernel estimates. J Func Anal, 2013, 264: 837-893
[8] Shafrir I. Asymptotic behaviour of minimizing sequences for Hardy inequality. Commun Contemp Math, 2000, 2: 151-189
[9] Vazquez J L, Zuazua E. The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential. J Funct Anal, 2000, 173: 103-153
[10] Kombe I, Özaydin M. Improved Hardy and Rellich inequalities on Riemannian manifolds. Trans Amer Math Soc, 2009, 361: 6191-6203
[11] Koornwinder T H. Jacobi functions and analysis on noncompact semisimple Lie groups//Askey R A, Koornwinder T H, Schempp W. Special Functions: Group Theoretical Aspect and Applications. Dordrecht-Boston: Reidel, 1984: 1-85
[12] Anker J, Damek E, Yacoub C. Spherical analysis on harmonic AN groups. Ann Scuola Norm Sup Pisa, 1996, 23: 643-679
[13] Lindqvist P. On the equation Δ_pu+λ|u|^p-2_u=0. Proc Amer Math Soc, 1990, 109: 157-164
[14] Davies E B. Heat Kernels and Spectral Theory. Cambridge: Cambridge University Press, 1989