Spectral multiplier theorems of Euclidean type on new classes of two-step stratified groups
Spectral multiplier theorems of Euclidean type on new classes of two-step stratified groups
From a theorem of Christ and Mauceri and Meda it follows that, for a homogeneous sublaplacian $L$ on a $2$-step stratified group $G$ with Lie algebra $\mathfrak{g}$, an operator of the form $F(L)$ is of weak type $(1,1)$ and bounded on $L^p(G)$ for $1 < p < \infty$ if the …