%0 Journal Article
%T Hardy Type Inequalities for $¦¤_¦Ë$-Laplacians
%A A. E. Kogoj
%A S. Sonner
%J Mathematics
%D 2014
%I arXiv
%X We derive Hardy type inequalities for a large class of sub-elliptic operators that belong to the class of $\Delta_\lambda$-Laplacians and find explicit values for the constants involved. Our results generalize previous inequalities obtained for Grushin type operators $$ \Delta_{x}+ |x|^{2\alpha}\Delta_{y},\qquad\ (x,y)\in\mathbb{R}^{N_1}\times\mathbb{R}^{N_2},\ \alpha\geq 0, $$ which were proved to be sharp.
%U http://arxiv.org/abs/1403.0215v2