Counting functions for Dirichlet series and compactness of composition operators

DOI10.1112/BLMS.12923arXiv2112.05508OpenAlexW4200634183MaRDI QIDQ6148045

Frederic Bayart

Publication date: 1 February 2024

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.05508

Mathematics Subject Classification ID

Linear composition operators (47B33) Banach spaces of continuous, differentiable or analytic functions (46E15) Dirichlet series, exponential series and other series in one complex variable (30B50)

Cites Work

• Approximation numbers of composition operators on \(H^p\) spaces of Dirichlet series
• Hardy spaces of Dirichlet series and their composition operators
• The essential norm of a composition operator
• Compact composition operators on a Hilbert space of Dirichlet series
• The composition operators on the space of Dirichlet series with square summable coefficients
• Compactness of composition operators on a Hilbert space of Dirichlet series
• A mean counting function for Dirichlet series and compact composition operators
• Orthogonal decomposition of composition operators on the \(H^2\) space of Dirichlet series
• Approximation numbers of composition operators on the \(H^2\) space of Dirichlet series
• Compact composition operators with nonlinear symbols on the \(H^2\) space of Dirichlet series
• Composition operators on weighted Bergman spaces of Dirichlet series
• Hilbert spaces of Dirichlet series and their multipliers

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