Higher order Riesz transforms in the inverse Gaussian setting and UMD Banach spaces

Jorge J. Betancor, Lourdes Rodríguez-Mesa

In this paper we study higher order Riesz transforms associated with the inverse Gaussian measure given by ${\pi }^{n/2}{e}^{|x{|}^2}dx$ on ${\mathbb{R}}^n$. We establish $L^p(\mathbb{R}^n,e^…