On Libera-type transforms on the unit disc, polydisc and the unit ball

DOI10.1080/10652460801948890zbMath1161.47022OpenAlexW2002706137MaRDI QIDQ3544281

Stevo Stević

Publication date: 5 December 2008

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460801948890

zbMATH Keywords

boundednessanalytic functioncompactnessunit ballunit discmixed norm spaceLibera operator

Mathematics Subject Classification ID

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

Related Items (2)

Generalized Hilbert operator on the Dirichlet-type space ⋮ The generalized Libera transform is bounded on the Besov mixed-norm, BMOA and VMOA spaces on the unit disc

Cites Work

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• Extended Cesàro operators between Bloch-type spaces in the unit ball of \(\mathbf {C}^{n}\)
• Metrical and topological properties of a generalized Libera transform
• The generalized Libera transform on Hardy, Bergman and Bloch spaces on the unit polydisc
• On an integral operator on the unit ball in \(\mathbb{C}^n\)
• Semigroups of composition operators in Bergman spaces
• Composition Semigroups and the Cesàro Operator OnH ^p
• Cesàro averaging operators
• Extended Cesàro operators on mixed norm spaces
• Cesàro averaging operators
• Riemann–Stieltjes-type integral operators on the unit ball in
• Integral type operators from mixed-norm spaces to α-Bloch spaces

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