Intermediate Hankel operators on the Fock space

2018/11/07 by Constantin, Olivia
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1811.03137

Abstract

We construct a natural sequence of middle Hankel operators on the Fock space, i.e. operators which are intermediate between the small and big Hankel operators. These operators are connected with the minimal L²-norm solution operator to ∂^N as well as to the polyanalytic Fock spaces.

Related

• Hankel operators on the Fock-Sobolev spaces
• Essential norm and Schatten class of Hankel operators between weighted Fock spaces
• Small Hankel operators on vector valued generalzed Fock spaces
• Toeplitz and related operators on polyanalytic Fock spaces
• Small Hankel operators on generalized Fock spaces