Bernstein-type inequalities for shift-coinvariant subspaces and their applications to Carleson embeddings

DOI10.1016/j.jfa.2004.08.014zbMath1082.46019OpenAlexW1977291654MaRDI QIDQ557581

Anton D. Baranov

Publication date: 30 June 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.08.014

zbMATH Keywords

Hardy classesCarleson measuresinner functionsBernstein-type inequalitiesshift-coinvariant subspaces

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (13)

Stability of the bases and frames reproducing kernels in model spaces. ⋮ Sampling and interpolation in de Branges spaces with doubling phase ⋮ A Bernstein-type inequality for rational functions in weighted Bergman spaces ⋮ On general Bernstein and Nikol'skiî type inequalities ⋮ One component bounded functions ⋮ Symbols of truncated Toeplitz operators ⋮ Asymptotic sharpness of a Bernstein-type inequality for rational functions in $H^{2}$ ⋮ Duality theorems for coinvariant subspaces of \(H^1\) ⋮ A model space approach to some classical inequalities for rational functions ⋮ Continuous embedding between P-de Branges spaces ⋮ Integral representation of the \(n\)-th derivative in de Branges-Rovnyak spaces and the norm convergence of its reproducing kernel ⋮ The Feichtinger conjecture for reproducing kernels in model subspaces ⋮ De Branges spaces and Fock spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A simple proof of a theorem of Vol'berg and Treil' on the embedding of coinvariant subspaces of the shift operator
• On fractional derivatives and star invariant subspaces
• Embedding theorems for star-invariant subspaces generated by smooth inner functions
• On embedding theorems for coinvariant subspaces of the shift operator. II.
• The Bellman function, the two-weight Hilbert transform, and embeddings of the model spaces \(K_\theta\)
• Carleson measures for functions orthogonal to invariant subspaces
• Differentiation in star-invariant subspaces. I: Boundedness and compactness
• Differentiation in star-invariant subspaces. II: Schatten class criteria
• One dimensional perturbations of restricted shifts
• Radial Limits and Star Invariant Subspaces of Bounded Mean Oscillation
• Radial imbedding theorems for invariant subspaces
• Sharp extensions of Bernstein's inequality to rational spaces
• Weighted Bernstein-type inequalities, and embedding theorems for the model subspaces
• Bernstein-Type Inequalities for Rational Functions with Prescribed Poles
• Radial Limits and Invariant Subspaces

This page was built for publication: Bernstein-type inequalities for shift-coinvariant subspaces and their applications to Carleson embeddings