Classical operators on weighted Banach spaces of entire functions

DOI10.1090/S0002-9939-2013-11685-0zbMath1282.47047OpenAlexW2044697815MaRDI QIDQ2855907

Carmen Fernández, José Bonet, María José Beltrán

Publication date: 23 October 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11685-0

zbMATH Keywords

Hardy operatordifferentiation operatorintegration operatorweighted Banach space of entire functions

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (14)

Differentiation and integration operators on weighted Banach spaces of holomorphic functions ⋮ Operators on Fock-type and weighted spaces of entire functions ⋮ Translation operators on weighted spaces of entire functions ⋮ A note about Volterra operators on weighted Banach spaces of entire functions ⋮ Cesàro bounded operators in Banach spaces ⋮ Distributional chaos for operators on Banach spaces ⋮ Invariant subspaces of the integration operators on Hörmander algebras and Korenblum type spaces ⋮ Mean ergodic weighted shifts on Köthe echelon spaces ⋮ Compactness of classical operators on weighted Banach spaces of holomorphic functions ⋮ Classical operators on the Hörmander algebras ⋮ Dynamics of the Volterra-type integral and differentiation operators on generalized Fock spaces ⋮ Hausdorff operators on weighted Banach spaces of type \(H^\infty\) ⋮ Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey ⋮ Classical operators in weighted Banach spaces of holomorphic functions

Cites Work

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• Weighted Composition Operators on Weighted Banach Spaces of Analytic Functions
• Cesàro Operators on the Hardy Spaces of the Half-Plane
• On the boundedness of the differentiation operator between weighted spaces of holomorphic functions
• On the isomorphism classes of weighted spaces of harmonic and holomorphic functions
• On the Uniform Ergodic Theorem

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