Work

On the Closed Range Weighted Composition–Differentiation Operator

Year: 2024

Type: article

Abstract: We provide a number of conditions which characterize the closed range weighted composition–differentiation operator $$D_{(u,\psi ,n)}$$ D ( u , ψ , n ) on Fock spaces. We, in particular, prove $$D_{(u,\psi ,n)}$$ D ( u , ψ , n ) has a closed range if and only if it is either trivial or surjective, and the latter happens if and only if $$\psi (z)= az+b$$ ψ ( z ) = a z + b and a belongs to the unit circle.

Source: Complex Analysis and Operator Theory

DOI: 10.1007/s11785-024-01650-x

Author: Tesfa Mengestie

Institution: Western Norway University of Applied Sciences

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funder: Høgskulen på Vestlandet