Abstract
Operators of type f → ψf ◦ 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.
Original language | English (US) |
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Pages (from-to) | 498-524 |
Number of pages | 27 |
Journal | Complex Variables and Elliptic Equations |
Volume | 65 |
Issue number | 3 |
DOIs | |
State | Published - Mar 3 2020 |
Keywords
- Primary 47B33
- Secondary 46E20
- Weighted composition operators
- spaces of analytic functions
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics