Hardy spaces and Riesz transforms on a Lie group of exponential growth

Peter Sjögren, Maria Vallarino

Let $G$ be the Lie group ${\mathbb{R}}^2⋊{\mathbb{R}}^{+}$ endowed with the Riemannian symmetric space structure. Take a distinguished basis $X_0,X_1,X_2$ of left-invariant vec…