Equivalent Characterizations for Boundedness of Maximal Singular Integrals on $ax+b$\,--Groups

Liguang Liu, Maria Vallarino, Dachun Yang

Let $(S,d,\rho )$ be the affine group ${\mathrm{R}}^n⋉{\mathrm{R}}^{+}$ endowed with the left-invariant Riemannian metric $d$ and the right Haar measure $\rho$, which is of exponentia…