Hilbert-Schmidt composition-differentiation operators on the unit ball

DOI10.1007/s13324-023-00865-zarXiv2308.15045OpenAlexW4390820517MaRDI QIDQ6119209

Ali Abkar

Publication date: 29 February 2024

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.15045

zbMATH Keywords

Hardy spaceBergman spaceradial derivativecomposition operatorHilbert-Schmidt operatorcomposition-differentiation operator

Mathematics Subject Classification ID

Linear composition operators (47B33) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Cites Work

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• Function theory in the unit ball of \({\mathbb{C}}^ n\)
• Composition-differentiation operators on the Dirichlet space
• The products of differentiation and composition operators from logarithmic Bloch spaces to \(\mu \)-Bloch spaces
• Norms of weighted composition operators with automorphic symbol
• Composition operators induced by symbols defined on a polydisk
• Composition followed by differentiation between Bergman and Hardy spaces
• Weighted composition-differentiation operators on the Hardy and Bergman spaces
• Composition Operators Induced by Analytic Maps to the Polydisk
• Mobius Invariant Hilbert Spaces of Holomorphic Functions in the Unit Ball of ℂ n
• Spaces of Holomorphic Functions in the Unit Ball
• Composition–differentiation operators on the Hardy space
• Products of composition and differentiation between Hardy spaces

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