Mapping properties of the Schrödinger maximal function on Damek--Ricci spaces

Utsav Dewan, Swagato K. Ray

For $f\in {\mathcal{S}}^2(\mathcal{S}{)}_o$, the collection of radial $L^2$-Schwartz class functions on Damek--Ricci spaces $\mathcal{S}$, we consider the Schrödinger maximal functio…