Nilpotent Toeplitz Operators on Reinhardt Domains

TL;DR

This paper constructs explicit examples of non-trivial nilpotent Toeplitz operators on Bergman spaces of specific Reinhardt domains in complex two-dimensional space, advancing understanding of operator theory in several complex variables.

Contribution

It provides explicit constructions of non-trivial nilpotent Toeplitz operators on Bergman spaces over Reinhardt domains, a novel contribution to operator theory in complex analysis.

Findings

Explicit examples of nilpotent Toeplitz operators are constructed.

The operators act on Bergman spaces of Reinhardt domains in ^2.

This work advances understanding of operator structures in several complex variables.

Abstract

We construct explicit examples of non-trivial nilpotent Toeplitz operators on Bergman spaces of certain Reinhardt domains in $\mathbb{C}^2$.