Hörmander–Mikhlin conjecture for stratified Lie groups
Let G\mathrm{G}G be an nnn-dimensional stratified Lie group with homogeneous dilation weights (ℓ1,ℓ2,…,ℓn)(\ell_1,\ell_2,\ldots,\ell_n)(ℓ1,ℓ2,…,ℓn), rescaled so that min(ℓj)=1\min(\ell_j)=1min(ℓj)=1, and let…