Boundedness from H^1 to L^1 of Riesz transforms on a Lie group of exponential growth

Peter Sjögren, Maria Vallarino

Let $G$ be the Lie group given by the semidirect product of $R^2$ and $R^{+}$ endowed with the Riemannian symmetric space structure. Let $X_0,X_1,X_2$ be a distinguished basis of l…