Order Bounded and 2-Complex Symmetric Weighted Superposition Operators on Fock Spaces

Abstract

One aim of the paper is to characterize some complex symmetric and 2-complex symmetric bounded weighted superposition operators on Fock spaces respect to the conjugations J and Jr,s,t defined by Jf(z)=f(z¯)¯ and Jr,s,tf(z)=teszf(rz+s¯)¯. Another aim is to characterize the order bounded weighted superposition operators from one Fock space into another Fock space.

Keywords

• fock space
• weighted superposition operator
• 2-complex symmetric operator
• order boundedness