Topological structures of generalized Volterra-type integral operators

DOI10.1007/S00009-018-1080-5OpenAlexW3098541380MaRDI QIDQ1635736

Mafuz Worku, Tesfa Mengestie

Publication date: 1 June 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.08414

zbMATH Keywords

compactFock spacescomposition operatorboundedSchatten classcompact differencetopological structuresgeneralized Volterra-type

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Linear composition operators (47B33) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Bergman spaces and Fock spaces (30H20)

Related Items (8)

Supercyclicity and resolvent condition for weighted composition operators ⋮ On generalized weighted composition operators acting between Fock-type spaces ⋮ Closed range integral operators on Fock spaces ⋮ Integral and weighted composition operators on Fock-type spaces ⋮ Path connected components of the space of Volterra-type integral operators ⋮ Spectrums and uniform mean ergodicity of weighted composition operators on Fock spaces ⋮ Products of Volterra type operators and composition operators between Fock spaces ⋮ Path connectedness of Volterra type integral operators on Bergman and Dirichlet type spaces

Cites Work

• Unnamed Item
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• Schatten-class generalized Volterra companion integral operators
• Generalized Volterra companion operators on Fock spaces
• Product of Volterra type integral and composition operators on weighted Fock spaces
• Products of Volterra type operator and composition operator from \(H^\infty \)and Bloch spaces to Zygmund spaces
• An integral operator on \(H^ p\) and Hardy's inequality.
• Compact differences of composition operators
• On the Li-Stević integral type operators from weighted Bergman spaces into \(\beta\)-Zygmund spaces
• Generalized composition operators on Zygmund spaces and Bloch type spaces
• A Volterra-type integration operator on Fock spaces
• Integration operators on Bergman spaces
• An Integral Operator on H^p
• Normal and isometric weighted composition operators on the Fock space
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen

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