Square functions in the Hermite setting for functions with values in UMD spaces

Jorge J. Betancor, Alejandro J. Castro, Jezabel Curbelo +2

In this paper we characterize the Lebesgue Bochner spaces $L^p({\mathbb{R}}^n,B)$, $1<p<\infty$, by using Littlewood-Paley $g$-functions in the Hermite setting, provided that $B$ is…