Weighted composition operators on the Hilbert Hardy space of a half-plane. Issue 3 (3rd March 2020)

• Record Type: Journal Article
• Authors: Matache, Valentin
• Is Part Of: Complex variables and elliptic equations. Volume 65:Issue 3(2020)
• Page Start: 498
• Page End: 524
• Publication Date: 2020-03-03
• Subjects: Weighted composition operators -- spaces of analytic functions; Primary 47B33 -- Secondary 46E20; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2019.1594206
• Languages: English
• ISSNs: 1747-6933

Abstract

ABSTRACT: Operators of type f → ψ f ∘ ϕ acting on function spaces are called weighted composition operators. If the weight function ψ is the constant function 1, then they are called composition operators. We consider weighted composition operators acting on the Hilbert Hardy space of a half-plane and study compactness, boundedness, invertibility, normality and spectral properties of such operators.