Cesàro operators on the space of analytic functions with logarithmic growth
Copyright policy )Cesàro operators on the space of analytic functions with logarithmic growth
Continuity, compactness, the spectrum and ergodic properties of Cesàro operators are investigated when they act on the space $VH(\mathbb{D})$ of analytic functions with logarithmic growth on the open unit disc $\mathbb{D}$ of the complex plane. The space $VH(\mathbb{D})$ is a countable inductive limit of weighted Banach spaces of analytic functions with compact linking maps. It was introduced and studied by Taskinen and also by Jasiczak.
13 pages
Weighted spaces of analytic functions, Mean ergodic operator, Spectrum, Primary: 47B91, secondary: 46E10, 46E15, 47A10, 47A16, 47A35, 47B38, FOS: Mathematics, Cesàro operator, Logarithmic growth, Functional Analysis (math.FA)
Weighted spaces of analytic functions, Mean ergodic operator, Spectrum, Primary: 47B91, secondary: 46E10, 46E15, 47A10, 47A16, 47A35, 47B38, FOS: Mathematics, Cesàro operator, Logarithmic growth, Functional Analysis (math.FA)
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