Norms of certain functions of a distinguished Laplacian on the $ax+b$ groups

Rauan Akylzhanov, Yulia Kuznetsova, Michael Ruzhansky +1

The aim of this paper is to find new estimates for the norms of functions of the (minus) Laplace operator $\mathcal{L}$ on the `$ax+b$' groups. The central part is devoted to spectrally…