Rocky Mountain Journal of Mathematics · 2003 · 121 citations · 7 references
We compute the essential norm of a weighted composition operator uC acting from an analytic Lipschitz space into a weighted Bloch-type space on the disk, and give estimates for the essential norm of uC when it maps the standard Bloch space into a weighted Bloch-type space. We also study boundedness and compactness of weighted composition operators on analytic Lipschitz spaces from a geometric perspective.
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Operator theory in function spaces
Mathematics and Computers in Simulation · 1991 · 1.4K citations
The Essential Norm of a Composition Operator
Joel H. Shapiro · Annals of Mathematics · 1987 · 435 citations
Weighted composition operators in weighted Banach spaces of analytic functions
Manuel D. Contreras, Alfredo G. Hernández‐Díaz · Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics · 2000 · 135 citations · Full text
Linear Operator, Weighted Banach Spaces, Weighted Composition Operators +3