A Lifting Theorem and Uniform Algebras

DOI10.2307/2001041zbMath0657.46038OpenAlexW4246941049MaRDI QIDQ3805288

Takanori Yamamoto, Takahiko Nakazi

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2001041

zbMATH Keywords

quadratic formuniform algebraspositive measureweighted norm estimatesHankel and Toeplitz operatorsgeneralized lifting theoremoperators on the Hardy space of the unit diskpositive definite on analytic functions

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Dilations, extensions, compressions of linear operators (47A20) (H^p)-spaces (42B30)

Related Items (5)

Weighted norm inequalities and uniform algebras. II ⋮ Some singular integral operators and Helson-Szegö measures ⋮ A Lifting Theorem and Analytic Operator Algebras ⋮ Interpolation and prediction problems for connected compact abelian groups ⋮ Weighted Norm Inequalities and Uniform Algebras

Cites Work

• On the generalization of the theorem of Helson and Szegö
• Lifting properties, Nehari theorem and Paley lacunary inequality
• Abstract analytic function theory and Hardy algebras
• Conjugate function theory in weak\(^*\) Dirichlet algebras
• A problem in prediction theory
• Remarks on Helson-Szegö problems
• Weighted quadratic means of Hilbert transforms
• Norms of Hankel Operators and Uniform Algebras
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