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

  • José BonetEmail author
Article
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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.

Keywords

Spectrum Integral operator Volterra operator Analytic functions Growth Banach spaces Korenblum space Fréchet spaces (LB)-spaces 

Mathematics Subject Classification

Primary 47G10 Secondary 30D15 30D20 46E15 47B07 47B37 47B38 

Notes

Acknowledgements

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

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Authors and Affiliations

  1. 1.Instituto Universitario de Matemática Pura y Aplicada IUMPAUniversitat Politècnica de ValènciaValenciaSpain

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