Schatten Class of Berezin Transform on Fock Spaces

The Schatten norm for the nuclear operator B*alpha B alpha was estimated from both sides. Here B alpha : L2 beta -> L2 gamma is the Berezin transform regarding the Fock spaces in the plane. Also, we found the norm for the Berezin transform in case of unweighted Lebesgue spaces.

Automated summary

This article discusses the Schatten norm of nuclear operator B*αBα, and provides norm estimates for the Berezin transform in both Fock spaces and unweighted Lebesgue spaces.