Weighted composition operators on nonlocally convex weighted spaces of continuous functions

Manhas, Jasbir Singh; Singh, Raj

doi:10.1007/bf02771088

Cited by 2 publications

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“…As the theory of weighted composition operators unifies the theory of composition operators and multiplication operators, in recent years many authors have started exploring the operator-theoretic properties of W φ,θ on different spaces of analytic functions (e.g. see [1], [5], [8], [17], [19], [20], [22], [24]) in terms of the function-theoretic properties of the symbols φ and θ. For an overview of the study of composition operators, we refer to the monographs by Cowen and MacCluer [6], Shapiro [25] and Singh and Manhas [27].…”

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confidence: 99%

Compact Differences of Weighted Composition Operators on Weighted Banach Spaces of Analytic Functions

Manhas

2008

Integr. equ. oper. theory

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Let H ∞ v (D) be the weighted Banach space of analytic functions with a topology generated by weighted sup-norm. In the present article, we investigate the analytic mappings φ1, φ2 : D → D and θ, π : D → C which characterize the compactness of differences of two weighted composition oper-. As a consequence we characterize the compactness of differences of composition operators on weighted Bloch spaces.

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