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

DOI10.1002/mana.201400099zbMath1342.47062arXiv1412.2872OpenAlexW1693229654MaRDI QIDQ3192435

José Bonet, Jari Taskinen

Publication date: 12 October 2015

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.2872

zbMATH Keywords

Volterra operatorintegral operatorcompact operatorentire functionsgrowth conditionsweakly compact operatorweighted Banach spaces of entire functions

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Banach spaces of continuous, differentiable or analytic functions (46E15) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items

Operators on Fock-type and weighted spaces of entire functions ⋮ The spectrum of Volterra-type integration operators on generalized Fock spaces ⋮ On the spectrum of Volterra-type integral operators on Fock-Sobolev spaces ⋮ Toeplitz operators on the space of all holomorphic functions on finitely connected domains ⋮ One-sided invertibility of Toeplitz operators on the space of all holomorphic functions on finitely connected domains ⋮ Boundedness of Volterra operators on spaces of entire functions ⋮ Associated weights for spaces ofp-integrable entire functions ⋮ Volterra type operators on growth Fock spaces ⋮ Dynamics of the Volterra-type integral and differentiation operators on generalized Fock spaces ⋮ Hausdorff operators on weighted Banach spaces of type \(H^\infty\) ⋮ Integral, differential and multiplication operators on generalized Fock spaces ⋮ Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey ⋮ Toeplitz operators on the space of all entire functions

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