A non-linear extremal problem on the Hardy space

DOI10.1007/BF03321742zbMath1194.47002OpenAlexW2020119106MaRDI QIDQ1045726

Stephan Ramon Garcia, William T. Ross

Publication date: 15 December 2009

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321742

zbMATH Keywords

Toeplitz operatorreproducing kernelconjugationextremal problemcomplex symmetric operatortruncated Toeplitz operatorClark operatorAleksandrov-Clark measure

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Special classes of linear operators (47B99)

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Cites Work

• Unnamed Item
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Remarks on the Bohr phenomenon
• Cyclic vectors and invariant subspaces of the backward shift operator
• One dimensional perturbations of restricted shifts
• Extremum problems in the theory of analytic functions
• On certain extremum problems for analytic functions
• Orthogonal polynomials and quadratic extremal problems
• Complex symmetric operators and applications II
• On Generalized Schwarz‐Pick Estimates
• Matrix Analysis
• Quadratic Extremal Problems on the Dirichlet Space
• Schwarz–Pick Type Estimates
• A quadratic extremal problem on the dirichlet space
• Approximate antilinear eigenvalue problems and related inequalities
• Algebraic properties of truncated Toeplitz operators
• Bounded Analytic Functions
• Generalized Interpolation in H ∞
• Complex symmetric operators and applications
• Some elementary inequalities in function theory