Vector valued multivariate spectral multipliers, Littlewood-Paley functions, and Sobolev spaces in hte Hermite setting

J. J. Betancor, J. C. Fariña, A. Ssnabria

In this paper we find new equivalent norms in $L^p({\mathbb{R}}^n,\mathbb{B})$ by using multivariate Littlewood-Paley functions associated with Poisson semigroup for the Hermite oper…