The Leray transform: factorization, dual $CR$ structures and model hypersurfaces in $\mathbb{C}{\mathbb{P}}^2$

D. E. Barrett, L. D. Edholm

We compute the exact norms of the Leray transforms for a family ${\mathcal{S}}_{\beta }$ of unbounded hypersurfaces in two complex dimensions. The ${\mathcal{S}}_{\beta }$ generalize the Heisenberg…