Weyl transforms associated with the Riemann-Liouville operator (Q933863)

Summary: For the Riemann-Liouville transform \({\mathcal R}_\alpha\), \(\alpha\i\mathbb R_+\), associated with singular partial differential operators, we define and study the Weyl transforms \(W_\sigma\) connected with \({\mathcal R}_\alpha\), where \(\sigma\) is a symbol in \(S^m\), \(m\in\mathbb R\). We give criteria in terms of \(\sigma\) for boundedness and compactness of the transform \(W_\sigma\).