Toeplitz Operators Acting on True-Poly-Bergman Type Spaces of the Two-Dimensional Siegel Domain: Nilpotent Symbols

Yessica Hernández-Eliseo, Josué Ramírez-Ortega, Francisco G. Hernández-Zamora

We describe certain $C^{\ast }$-algebras generated by Toeplitz operators with nilpotent symbols and acting on a poly-Bergman type space of the Siegel domain $D_{2} \subset \mathbb{C}^{2}…