Mixed norm estimates for the Riesz transforms on the Heisenberg group (Q889029)

The authors prove weighted mixed norm estimates for Riesz transforms \(R_{j}\), \(j=1,\ldots , d\) on the Heisenberg group \(\mathbb{H}^d\) and Riesz transforms associated to the special Hermite operator. From these mixed norm estimates the authors deduce vector-valued inequalities for sequences of Riesz transforms associated to generalized Grushin operators and Laguerre operators.