The generalized Libera transform on Hardy, Bergman and Bloch spaces on the unit polydisc

DOI10.4171/ZAA/1138zbMath1046.47026OpenAlexW2067980805MaRDI QIDQ1866648

Stevo Stević

Publication date: 2003

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1138

zbMATH Keywords

Hardy spaceboundednessBergman spacepolydiskLibera transform

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (8)

Riemann–Stieltjes-type integral operators on the unit ball in ⋮ Composition operators between \(H^\infty\) and \(a\)-Bloch spaces on the polydisc ⋮ On Libera-type transforms on the unit disc, polydisc and the unit ball ⋮ Weighted composition operators from \(H^{\infty }\) to the Bloch space on the polydisc ⋮ Products of integral-type operators and composition operators between Bloch-type spaces ⋮ Integral type operators from mixed-norm spaces to α-Bloch spaces ⋮ Hausdorff operator on the unit polydisk in ⋮ 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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• Metrical and topological properties of a generalized Libera transform
• The generalized Cesàro operator on the unit polydisk.
• Subordinate \(H^ P\) functions
• Semigroups of composition operators in Bergman spaces
• Composition Semigroups and the Cesàro Operator OnH ^p
• Integration operators on Bergman spaces
• Cesàro averaging operators
• A note on weighted Bergman spaces and the Cesaro Operator
• Cesàro averaging operators
• Cesàro averaging operators on Hardy spaces
• Some Classes of Regular Univalent Functions

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