Toeplitz Operators in a Symmetrically-Normed Ideal

Abstract

We look at Toeplitz operators $T_{\nu }$ on the Fock Space (also known as the Segal-Bargmann space) which have a positive Borel measure $\nu$ as a symbol. We characterize when ${\left(T_{\nu }\right)}^s$ for $0<s\le 1$ is in the symmetrically normed ideal associated with any given symmetric norming function.

arXiv commentThis article is based on part of my thesis