Differentiation and integration operators on weighted Banach spaces of holomorphic functions

DOI10.1002/mana.201500405zbMath1420.47010arXiv1505.04350OpenAlexW2964351954MaRDI QIDQ5275846

Pham Trong Tien, Alexander V. Abanin

Publication date: 14 July 2017

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

Full work available at URL: https://arxiv.org/abs/1505.04350

zbMATH Keywords

differentiation operatorintegration operatorweighted Banach spaces of holomorphic functions

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (12)

The radial derivative operator on generalized Fock spaces ⋮ Invariant subspaces for classical operators on weighted spaces of holomorphic functions ⋮ Invariant subspaces of the integration operators on Hörmander algebras and Korenblum type spaces ⋮ Compactness of classical operators on weighted Banach spaces of holomorphic functions ⋮ Components of linear fractional composition operators on spaces of holomorphic functions ⋮ Composition operators on weighted Banach spaces of entire functions ⋮ Dynamics of the Volterra-type integral and differentiation operators on generalized Fock spaces ⋮ Topological structure in the space of (weighted) composition operators on weighted Banach spaces of holomorphic functions ⋮ The iterates of composition operators on Banach spaces of holomorphic functions ⋮ Integral, differential and multiplication operators on generalized Fock spaces ⋮ Integration and differentiation in Hardy growth spaces ⋮ Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey

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