Positive Toeplitz operators on the Bergman spaces of the Siegel upper half-space

TL;DR

This paper characterizes bounded and compact positive Toeplitz operators on Bergman spaces of the Siegel upper half-space, advancing understanding of operator theory in complex analysis.

Contribution

It provides a complete characterization of bounded and compact positive Toeplitz operators in this specific setting, which was previously not fully understood.

Findings

Characterization of bounded positive Toeplitz operators

Criteria for compactness of these operators

New insights into operator behavior on Siegel upper half-space

Abstract

We characterize bounded and compact positive Toeplitz operators defined on the Bergman spaces over the Siegel upper half-space.