arXiv:1412.2872 Abstract | arXiv Analytics

arXiv:1412.2872 [math.FA]Abstract References Reviews Resources

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

Published 2014-12-09Version 1

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.

Comments: 13 pages

Categories: math.FA

Subjects: 47G10, 30D15, 30D20, 46E15, 47B07, 47B37, 47B38

Keywords: weighted banach spaces, volterra operators, entire functions, reflexive weighted fock spaces, holomorphic functions

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