Toeplitz and Hankel operators from Bergman to analytic Besov spaces of tube domains over symmetric cones

TL;DR

This paper characterizes bounded Toeplitz and Hankel operators between weighted Bergman and Besov spaces on tube domains over symmetric cones, and establishes weak factorization results for these spaces.

Contribution

It provides a comprehensive characterization of Toeplitz and Hankel operators in this setting and introduces weak factorization results for Bergman spaces over symmetric cones.

Findings

Characterization of bounded Toeplitz operators

Characterization of bounded Hankel operators

Weak factorization results for Bergman spaces

Abstract

We characterize bounded Toeplitz and Hankel operators from weighted Bergman spaces to weighted Besov spaces in tube domains over symmetric cones. We deduce weak factorization results for some Bergman spaces of this setting.