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arxiv: 1412.2872 · v1 · pith:7BMIFDLVnew · submitted 2014-12-09 · 🧮 math.FA

A note about Volterra operators on weighted Banach spaces of entire functions

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keywords spacesweightedfunctionsbanachcompactnessentireoperatorsvolterra
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We characterize boundedness, compactness and weak compactness of Volterra operators acting between different weighted Banach spaces of entire functions with weighted sup-norms in terms of the symbol g. Thus we complement recent work by Bassallote, Contreras, Hern\'andez-Mancera, Mart\'in and Paul for spaces of holomorphic functions on the disc and by Constantin and Pel\'aez for reflexive weighted Fock spaces.

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