Weighted composition operators from Bergman-Privalov-type spaces to weighted-type spaces on the unit ball

DOI10.1016/j.amc.2010.06.049zbMath1250.47030OpenAlexW2015125284MaRDI QIDQ606708

Stevo Stević

Publication date: 18 November 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.06.049

zbMATH Keywords

boundednessweighted composition operatorscompactnessunit ballweighted-type spacesBergman-Privalov-type space

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Linear composition operators (47B33) Banach spaces of continuous, differentiable or analytic functions (46E15) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (17)

On a product-type operator from weighted Bergman-Orlicz space to some weighted type spaces ⋮ Unnamed Item ⋮ Essential norms of Volterra type operators between \textit{Zygmund} type spaces ⋮ Unnamed Item ⋮ Weighted composition operators from Hardy to Zygmund type spaces ⋮ On a product operator from weighted Bergman-Nevanlinna spaces to weighted Zygmund spaces ⋮ Weighted composition operators on the predual and dual Banach spaces of Beurling algebras on \(\mathbb Z\) ⋮ On some isometries on the Bergman-Privalov class on the unit ball ⋮ Weighted composition operators between Hardy and growth spaces on the upper half-plane ⋮ Weighted composition operators on the Zygmund space ⋮ Products of composition, multiplication and radial derivative operators from logarithmic Bloch spaces to weighted-type spaces on the unit ball ⋮ Generalized product-type operators from weighted Bergman-Orlicz spaces to Bloch-Orlicz spaces ⋮ Generalized weighted composition operators from Zygmund spaces to Bloch-Orlicz type spaces ⋮ Unnamed Item ⋮ On an extension of Stević-Sharma operator from the general space to weighted-type spaces on the unit ball ⋮ Weighted composition operators from Nevanlinna type spaces to weighted Bloch type spaces ⋮ Multiplication operators on weighted Bloch spaces of the first Cartan domains

Cites Work

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• Composition operators between \(H^\infty\) and \(a\)-Bloch spaces on the polydisc
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• Weighted composition operators from area Nevanlinna spaces into Bloch spaces
• Weighted composition operators from generalized weighted Bergman spaces to weighted-type spaces
• Essential norms of weighted composition operators from the \(\alpha \)-Bloch space to a weighted-type space on the unit ball
• Weighted composition operators between \(H^\infty\) and \(\alpha\)-Bloch spaces in the unit ball
• Weighted composition operators from weighted Bergman spaces to weighted-type spaces on the unit ball
• Isometries of weighted Bergman-Privalov spaces on the unit ball of \(\mathbb{C}^n\)
• Norm equivalence and composition operators between Bloch/Lipschitz spaces of the ball
• Composition operators: $N_α$ to the Bloch space to $Q_β$
• COMPOSITION OPERATORS ON THE PRIVALOV SPACES OF THE UNIT BALL OF ℂⁿ

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