Derivatives of Blaschke Products and Model Space Functions

DOI10.4153/S0008439519000675zbMath1456.30097arXiv1909.02135OpenAlexW2987659504MaRDI QIDQ5148070

David Protas

Publication date: 29 January 2021

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.02135

zbMATH Keywords

Bergman spacedistribution of zerosBlaschke productmodel space

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Hardy spaces (30H10) Bergman spaces and Fock spaces (30H20) Blaschke products (30J10)

Cites Work

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• Derivatives of inner functions
• Blaschke products with derivative in function spaces
• On the \(H^ p\) classes of derivatives of functions orthogonal to invariant subspaces
• Derivatives of Blaschke products
• On Blaschke products with derivatives in Bergman spaces with normal weights
• On inner functions with derivative in Bergman spaces
• On inner functions with \(B^p\) derivative
• On inner functions with \(H^p\)-derivative
• Mean growth of the derivative of a Blaschke product
• Introduction to Model Spaces and their Operators
• Derivatives of Blaschke products whose zeros lie in a Stolz domain and weighted Bergman spaces
• The Poisson Integral of a Singular Measure
• Remark on Integral Means of Derivatives of Blaschke Products
• Derivatives of inner functions in Bergman spaces induced by doubling weights
• Theorems on Fourier Series and Power Series (II)^†

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