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The Spectrum of Volterra Operators on Korenblum Type Spaces of Analytic Functions

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Abstract

The continuity, compactness and the spectrum of the Volterra integral operator \(V_g\) with symbol an analytic function g, when acting on the classical Korenblum space and other related weighted Fréchet or (LB) spaces of analytic functions on the open unit disc, are investigated.

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Acknowledgements

The author is thankful to the referee for the careful reading of the manuscript and the helpful remarks.

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  1. Instituto Universitario de Matemática Pura y Aplicada IUMPA, Universitat Politècnica de València, 46071, Valencia, Spain

    José Bonet

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This research was partially supported by the Projects MTM2016-76647-P and GV Prometeo/2017/102.

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Bonet, J. The Spectrum of Volterra Operators on Korenblum Type Spaces of Analytic Functions. Integr. Equ. Oper. Theory 91, 46 (2019). https://doi.org/10.1007/s00020-019-2547-x

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